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Finding the Fourth Proportional to 1,162.30, 1,743.02 and 468.74

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Solution

The fourth proportional to 1,162.30, 1,743.02 and 468.74 is: 702.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.30 : 1,743.02 = 468.74 : x
  2. Step 2: Convert to fraction form
    1,162.30/1,743.02 = 468.74/x
  3. Step 3: Cross multiply
    1,162.30x = 1,743.02 × 468.74
  4. Step 4: Simplify right side
    1,162.30x = 817,023.19
  5. Step 5: Solve for x
    x = 817,023.19/1,162.30
  6. Step 6: Final answer
    x = 702.94

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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.