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Finding the Fourth Proportional to 1,187.19, 1,780.25 and 493.70

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Solution

The fourth proportional to 1,187.19, 1,780.25 and 493.70 is: 740.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.19 : 1,780.25 = 493.70 : x
  2. Step 2: Convert to fraction form
    1,187.19/1,780.25 = 493.70/x
  3. Step 3: Cross multiply
    1,187.19x = 1,780.25 × 493.70
  4. Step 4: Simplify right side
    1,187.19x = 878,898.06
  5. Step 5: Solve for x
    x = 878,898.06/1,187.19
  6. Step 6: Final answer
    x = 740.32

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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.