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Finding the Fourth Proportional to 987.53, 1,478.54 and 499.55

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Solution

The fourth proportional to 987.53, 1,478.54 and 499.55 is: 747.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.53 : 1,478.54 = 499.55 : x
  2. Step 2: Convert to fraction form
    987.53/1,478.54 = 499.55/x
  3. Step 3: Cross multiply
    987.53x = 1,478.54 × 499.55
  4. Step 4: Simplify right side
    987.53x = 738,598.51
  5. Step 5: Solve for x
    x = 738,598.51/987.53
  6. Step 6: Final answer
    x = 747.93

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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.