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Finding the Fourth Proportional to 1,142.80, 1,713.84 and 656.08

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Solution

The fourth proportional to 1,142.80, 1,713.84 and 656.08 is: 983.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.80 : 1,713.84 = 656.08 : x
  2. Step 2: Convert to fraction form
    1,142.80/1,713.84 = 656.08/x
  3. Step 3: Cross multiply
    1,142.80x = 1,713.84 × 656.08
  4. Step 4: Simplify right side
    1,142.80x = 1,124,416.15
  5. Step 5: Solve for x
    x = 1,124,416.15/1,142.80
  6. Step 6: Final answer
    x = 983.91

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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.