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Finding the Fourth Proportional to 1,115.93, 1,673.87 and 458.07

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Solution

The fourth proportional to 1,115.93, 1,673.87 and 458.07 is: 687.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.93 : 1,673.87 = 458.07 : x
  2. Step 2: Convert to fraction form
    1,115.93/1,673.87 = 458.07/x
  3. Step 3: Cross multiply
    1,115.93x = 1,673.87 × 458.07
  4. Step 4: Simplify right side
    1,115.93x = 766,747.34
  5. Step 5: Solve for x
    x = 766,747.34/1,115.93
  6. Step 6: Final answer
    x = 687.10

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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.