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Finding the Fourth Proportional to 712.71, 1,066.68 and 524.07

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Solution

The fourth proportional to 712.71, 1,066.68 and 524.07 is: 784.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.71 : 1,066.68 = 524.07 : x
  2. Step 2: Convert to fraction form
    712.71/1,066.68 = 524.07/x
  3. Step 3: Cross multiply
    712.71x = 1,066.68 × 524.07
  4. Step 4: Simplify right side
    712.71x = 559,014.99
  5. Step 5: Solve for x
    x = 559,014.99/712.71
  6. Step 6: Final answer
    x = 784.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.