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Finding the Fourth Proportional to 972.54, 1,342.06 and 530.42

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Solution

The fourth proportional to 972.54, 1,342.06 and 530.42 is: 731.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.54 : 1,342.06 = 530.42 : x
  2. Step 2: Convert to fraction form
    972.54/1,342.06 = 530.42/x
  3. Step 3: Cross multiply
    972.54x = 1,342.06 × 530.42
  4. Step 4: Simplify right side
    972.54x = 711,855.47
  5. Step 5: Solve for x
    x = 711,855.47/972.54
  6. Step 6: Final answer
    x = 731.95

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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.