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Finding the Fourth Proportional to 1,104.84, 1,657.26 and 618.12

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Solution

The fourth proportional to 1,104.84, 1,657.26 and 618.12 is: 927.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.84 : 1,657.26 = 618.12 : x
  2. Step 2: Convert to fraction form
    1,104.84/1,657.26 = 618.12/x
  3. Step 3: Cross multiply
    1,104.84x = 1,657.26 × 618.12
  4. Step 4: Simplify right side
    1,104.84x = 1,024,385.55
  5. Step 5: Solve for x
    x = 1,024,385.55/1,104.84
  6. Step 6: Final answer
    x = 927.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.