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Finding the Fourth Proportional to 1,104.80, 1,656.32 and 374.00

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Solution

The fourth proportional to 1,104.80, 1,656.32 and 374.00 is: 560.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.80 : 1,656.32 = 374.00 : x
  2. Step 2: Convert to fraction form
    1,104.80/1,656.32 = 374.00/x
  3. Step 3: Cross multiply
    1,104.80x = 1,656.32 × 374.00
  4. Step 4: Simplify right side
    1,104.80x = 619,453.53
  5. Step 5: Solve for x
    x = 619,453.53/1,104.80
  6. Step 6: Final answer
    x = 560.70

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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.