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Finding the Fourth Proportional to 702.99, 1,055.39 and 540.78

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Solution

The fourth proportional to 702.99, 1,055.39 and 540.78 is: 811.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.99 : 1,055.39 = 540.78 : x
  2. Step 2: Convert to fraction form
    702.99/1,055.39 = 540.78/x
  3. Step 3: Cross multiply
    702.99x = 1,055.39 × 540.78
  4. Step 4: Simplify right side
    702.99x = 570,731.10
  5. Step 5: Solve for x
    x = 570,731.10/702.99
  6. Step 6: Final answer
    x = 811.86

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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.