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Finding the Fourth Proportional to 1,117.28, 1,675.66 and 424.02

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Solution

The fourth proportional to 1,117.28, 1,675.66 and 424.02 is: 635.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.28 : 1,675.66 = 424.02 : x
  2. Step 2: Convert to fraction form
    1,117.28/1,675.66 = 424.02/x
  3. Step 3: Cross multiply
    1,117.28x = 1,675.66 × 424.02
  4. Step 4: Simplify right side
    1,117.28x = 710,513.35
  5. Step 5: Solve for x
    x = 710,513.35/1,117.28
  6. Step 6: Final answer
    x = 635.93

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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.