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Finding the Fourth Proportional to 1,114.65, 1,672.16 and 498.35

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Solution

The fourth proportional to 1,114.65, 1,672.16 and 498.35 is: 747.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.65 : 1,672.16 = 498.35 : x
  2. Step 2: Convert to fraction form
    1,114.65/1,672.16 = 498.35/x
  3. Step 3: Cross multiply
    1,114.65x = 1,672.16 × 498.35
  4. Step 4: Simplify right side
    1,114.65x = 833,322.62
  5. Step 5: Solve for x
    x = 833,322.62/1,114.65
  6. Step 6: Final answer
    x = 747.61

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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.