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Finding the Fourth Proportional to 960.32, 1,324.76 and 567.20

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Solution

The fourth proportional to 960.32, 1,324.76 and 567.20 is: 782.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.32 : 1,324.76 = 567.20 : x
  2. Step 2: Convert to fraction form
    960.32/1,324.76 = 567.20/x
  3. Step 3: Cross multiply
    960.32x = 1,324.76 × 567.20
  4. Step 4: Simplify right side
    960.32x = 751,403.87
  5. Step 5: Solve for x
    x = 751,403.87/960.32
  6. Step 6: Final answer
    x = 782.45

Related Problems

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.