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Finding the Fourth Proportional to 1,135.88, 1,702.60 and 477.59

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Solution

The fourth proportional to 1,135.88, 1,702.60 and 477.59 is: 715.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.88 : 1,702.60 = 477.59 : x
  2. Step 2: Convert to fraction form
    1,135.88/1,702.60 = 477.59/x
  3. Step 3: Cross multiply
    1,135.88x = 1,702.60 × 477.59
  4. Step 4: Simplify right side
    1,135.88x = 813,135.03
  5. Step 5: Solve for x
    x = 813,135.03/1,135.88
  6. Step 6: Final answer
    x = 715.87

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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.