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Finding the Fourth Proportional to 972.13, 1,341.57 and 530.06

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Solution

The fourth proportional to 972.13, 1,341.57 and 530.06 is: 731.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.13 : 1,341.57 = 530.06 : x
  2. Step 2: Convert to fraction form
    972.13/1,341.57 = 530.06/x
  3. Step 3: Cross multiply
    972.13x = 1,341.57 × 530.06
  4. Step 4: Simplify right side
    972.13x = 711,112.59
  5. Step 5: Solve for x
    x = 711,112.59/972.13
  6. Step 6: Final answer
    x = 731.50

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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.