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Finding the Fourth Proportional to 1,248.16, 1,870.96 and 734.24

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Solution

The fourth proportional to 1,248.16, 1,870.96 and 734.24 is: 1,100.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248.16 : 1,870.96 = 734.24 : x
  2. Step 2: Convert to fraction form
    1,248.16/1,870.96 = 734.24/x
  3. Step 3: Cross multiply
    1,248.16x = 1,870.96 × 734.24
  4. Step 4: Simplify right side
    1,248.16x = 1,373,733.67
  5. Step 5: Solve for x
    x = 1,373,733.67/1,248.16
  6. Step 6: Final answer
    x = 1,100.61

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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.