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Finding the Fourth Proportional to 832.44, 1,148.84 and 567.46

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Solution

The fourth proportional to 832.44, 1,148.84 and 567.46 is: 783.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.44 : 1,148.84 = 567.46 : x
  2. Step 2: Convert to fraction form
    832.44/1,148.84 = 567.46/x
  3. Step 3: Cross multiply
    832.44x = 1,148.84 × 567.46
  4. Step 4: Simplify right side
    832.44x = 651,920.75
  5. Step 5: Solve for x
    x = 651,920.75/832.44
  6. Step 6: Final answer
    x = 783.14

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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.