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Finding the Fourth Proportional to 567.81, 784.10 and 537.12

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Solution

The fourth proportional to 567.81, 784.10 and 537.12 is: 741.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.81 : 784.10 = 537.12 : x
  2. Step 2: Convert to fraction form
    567.81/784.10 = 537.12/x
  3. Step 3: Cross multiply
    567.81x = 784.10 × 537.12
  4. Step 4: Simplify right side
    567.81x = 421,153.11
  5. Step 5: Solve for x
    x = 421,153.11/567.81
  6. Step 6: Final answer
    x = 741.71

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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.