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Finding the Fourth Proportional to 675.07, 931.89 and 500.71

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Solution

The fourth proportional to 675.07, 931.89 and 500.71 is: 691.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.07 : 931.89 = 500.71 : x
  2. Step 2: Convert to fraction form
    675.07/931.89 = 500.71/x
  3. Step 3: Cross multiply
    675.07x = 931.89 × 500.71
  4. Step 4: Simplify right side
    675.07x = 466,606.64
  5. Step 5: Solve for x
    x = 466,606.64/675.07
  6. Step 6: Final answer
    x = 691.20

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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.