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Finding the Fourth Proportional to 1,178.59, 1,626.50 and 654.61

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Solution

The fourth proportional to 1,178.59, 1,626.50 and 654.61 is: 903.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.59 : 1,626.50 = 654.61 : x
  2. Step 2: Convert to fraction form
    1,178.59/1,626.50 = 654.61/x
  3. Step 3: Cross multiply
    1,178.59x = 1,626.50 × 654.61
  4. Step 4: Simplify right side
    1,178.59x = 1,064,720.74
  5. Step 5: Solve for x
    x = 1,064,720.74/1,178.59
  6. Step 6: Final answer
    x = 903.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.