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Finding the Fourth Proportional to 1,187.48, 1,780.70 and 407.55

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Solution

The fourth proportional to 1,187.48, 1,780.70 and 407.55 is: 611.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.48 : 1,780.70 = 407.55 : x
  2. Step 2: Convert to fraction form
    1,187.48/1,780.70 = 407.55/x
  3. Step 3: Cross multiply
    1,187.48x = 1,780.70 × 407.55
  4. Step 4: Simplify right side
    1,187.48x = 725,725.30
  5. Step 5: Solve for x
    x = 725,725.30/1,187.48
  6. Step 6: Final answer
    x = 611.15

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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.