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Finding the Fourth Proportional to 1,187.16, 1,780.36 and 456.92

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Solution

The fourth proportional to 1,187.16, 1,780.36 and 456.92 is: 685.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.16 : 1,780.36 = 456.92 : x
  2. Step 2: Convert to fraction form
    1,187.16/1,780.36 = 456.92/x
  3. Step 3: Cross multiply
    1,187.16x = 1,780.36 × 456.92
  4. Step 4: Simplify right side
    1,187.16x = 813,482.09
  5. Step 5: Solve for x
    x = 813,482.09/1,187.16
  6. Step 6: Final answer
    x = 685.23

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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.