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Finding the Fourth Proportional to 942.53, 1,415.14 and 532.46

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Solution

The fourth proportional to 942.53, 1,415.14 and 532.46 is: 799.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.53 : 1,415.14 = 532.46 : x
  2. Step 2: Convert to fraction form
    942.53/1,415.14 = 532.46/x
  3. Step 3: Cross multiply
    942.53x = 1,415.14 × 532.46
  4. Step 4: Simplify right side
    942.53x = 753,507.65
  5. Step 5: Solve for x
    x = 753,507.65/942.53
  6. Step 6: Final answer
    x = 799.46

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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.