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Finding the Fourth Proportional to 972.47, 1,342.00 and 530.35

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Solution

The fourth proportional to 972.47, 1,342.00 and 530.35 is: 731.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.47 : 1,342.00 = 530.35 : x
  2. Step 2: Convert to fraction form
    972.47/1,342.00 = 530.35/x
  3. Step 3: Cross multiply
    972.47x = 1,342.00 × 530.35
  4. Step 4: Simplify right side
    972.47x = 711,727.01
  5. Step 5: Solve for x
    x = 711,727.01/972.47
  6. Step 6: Final answer
    x = 731.87

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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.