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Finding the Fourth Proportional to 1,209.68, 1,815.28 and 654.16

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Solution

The fourth proportional to 1,209.68, 1,815.28 and 654.16 is: 981.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.68 : 1,815.28 = 654.16 : x
  2. Step 2: Convert to fraction form
    1,209.68/1,815.28 = 654.16/x
  3. Step 3: Cross multiply
    1,209.68x = 1,815.28 × 654.16
  4. Step 4: Simplify right side
    1,209.68x = 1,187,486.47
  5. Step 5: Solve for x
    x = 1,187,486.47/1,209.68
  6. Step 6: Final answer
    x = 981.65

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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.