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Finding the Fourth Proportional to 921.39, 1,271.42 and 567.25

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Solution

The fourth proportional to 921.39, 1,271.42 and 567.25 is: 782.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.39 : 1,271.42 = 567.25 : x
  2. Step 2: Convert to fraction form
    921.39/1,271.42 = 567.25/x
  3. Step 3: Cross multiply
    921.39x = 1,271.42 × 567.25
  4. Step 4: Simplify right side
    921.39x = 721,217.85
  5. Step 5: Solve for x
    x = 721,217.85/921.39
  6. Step 6: Final answer
    x = 782.75

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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.