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Finding the Fourth Proportional to 972.16, 1,459.20 and 588.16

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Solution

The fourth proportional to 972.16, 1,459.20 and 588.16 is: 882.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.16 : 1,459.20 = 588.16 : x
  2. Step 2: Convert to fraction form
    972.16/1,459.20 = 588.16/x
  3. Step 3: Cross multiply
    972.16x = 1,459.20 × 588.16
  4. Step 4: Simplify right side
    972.16x = 858,243.07
  5. Step 5: Solve for x
    x = 858,243.07/972.16
  6. Step 6: Final answer
    x = 882.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.