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Finding the Fourth Proportional to 712.29, 983.09 and 526.74

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Solution

The fourth proportional to 712.29, 983.09 and 526.74 is: 726.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.29 : 983.09 = 526.74 : x
  2. Step 2: Convert to fraction form
    712.29/983.09 = 526.74/x
  3. Step 3: Cross multiply
    712.29x = 983.09 × 526.74
  4. Step 4: Simplify right side
    712.29x = 517,831.64
  5. Step 5: Solve for x
    x = 517,831.64/712.29
  6. Step 6: Final answer
    x = 726.99

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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.