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Finding the Fourth Proportional to 1,117.59, 1,676.52 and 468.38

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Solution

The fourth proportional to 1,117.59, 1,676.52 and 468.38 is: 702.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.59 : 1,676.52 = 468.38 : x
  2. Step 2: Convert to fraction form
    1,117.59/1,676.52 = 468.38/x
  3. Step 3: Cross multiply
    1,117.59x = 1,676.52 × 468.38
  4. Step 4: Simplify right side
    1,117.59x = 785,240.06
  5. Step 5: Solve for x
    x = 785,240.06/1,117.59
  6. Step 6: Final answer
    x = 702.62

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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.