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Finding the Fourth Proportional to 1,117.40, 1,675.80 and 337.28

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Solution

The fourth proportional to 1,117.40, 1,675.80 and 337.28 is: 505.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.40 : 1,675.80 = 337.28 : x
  2. Step 2: Convert to fraction form
    1,117.40/1,675.80 = 337.28/x
  3. Step 3: Cross multiply
    1,117.40x = 1,675.80 × 337.28
  4. Step 4: Simplify right side
    1,117.40x = 565,213.82
  5. Step 5: Solve for x
    x = 565,213.82/1,117.40
  6. Step 6: Final answer
    x = 505.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.