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Finding the Fourth Proportional to 762.35, 1,142.61 and 498.93

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Solution

The fourth proportional to 762.35, 1,142.61 and 498.93 is: 747.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.35 : 1,142.61 = 498.93 : x
  2. Step 2: Convert to fraction form
    762.35/1,142.61 = 498.93/x
  3. Step 3: Cross multiply
    762.35x = 1,142.61 × 498.93
  4. Step 4: Simplify right side
    762.35x = 570,090.10
  5. Step 5: Solve for x
    x = 570,090.10/762.35
  6. Step 6: Final answer
    x = 747.80

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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.