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Finding the Fourth Proportional to 718.07, 1,077.10 and 535.21

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Solution

The fourth proportional to 718.07, 1,077.10 and 535.21 is: 802.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.07 : 1,077.10 = 535.21 : x
  2. Step 2: Convert to fraction form
    718.07/1,077.10 = 535.21/x
  3. Step 3: Cross multiply
    718.07x = 1,077.10 × 535.21
  4. Step 4: Simplify right side
    718.07x = 576,470.66
  5. Step 5: Solve for x
    x = 576,470.66/718.07
  6. Step 6: Final answer
    x = 802.81

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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.