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Finding the Fourth Proportional to 972.06, 1,341.42 and 529.95

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Solution

The fourth proportional to 972.06, 1,341.42 and 529.95 is: 731.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.06 : 1,341.42 = 529.95 : x
  2. Step 2: Convert to fraction form
    972.06/1,341.42 = 529.95/x
  3. Step 3: Cross multiply
    972.06x = 1,341.42 × 529.95
  4. Step 4: Simplify right side
    972.06x = 710,885.53
  5. Step 5: Solve for x
    x = 710,885.53/972.06
  6. Step 6: Final answer
    x = 731.32

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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.