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Finding the Fourth Proportional to 1,117.83, 1,672.71 and 838.47

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Solution

The fourth proportional to 1,117.83, 1,672.71 and 838.47 is: 1,254.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.83 : 1,672.71 = 838.47 : x
  2. Step 2: Convert to fraction form
    1,117.83/1,672.71 = 838.47/x
  3. Step 3: Cross multiply
    1,117.83x = 1,672.71 × 838.47
  4. Step 4: Simplify right side
    1,117.83x = 1,402,517.15
  5. Step 5: Solve for x
    x = 1,402,517.15/1,117.83
  6. Step 6: Final answer
    x = 1,254.68

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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.