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Finding the Fourth Proportional to 1,114.53, 1,670.63 and 498.52

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Solution

The fourth proportional to 1,114.53, 1,670.63 and 498.52 is: 747.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.53 : 1,670.63 = 498.52 : x
  2. Step 2: Convert to fraction form
    1,114.53/1,670.63 = 498.52/x
  3. Step 3: Cross multiply
    1,114.53x = 1,670.63 × 498.52
  4. Step 4: Simplify right side
    1,114.53x = 832,842.47
  5. Step 5: Solve for x
    x = 832,842.47/1,114.53
  6. Step 6: Final answer
    x = 747.26

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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.