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Finding the Fourth Proportional to 1,118.49, 1,543.32 and 764.70

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Solution

The fourth proportional to 1,118.49, 1,543.32 and 764.70 is: 1,055.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.49 : 1,543.32 = 764.70 : x
  2. Step 2: Convert to fraction form
    1,118.49/1,543.32 = 764.70/x
  3. Step 3: Cross multiply
    1,118.49x = 1,543.32 × 764.70
  4. Step 4: Simplify right side
    1,118.49x = 1,180,176.80
  5. Step 5: Solve for x
    x = 1,180,176.80/1,118.49
  6. Step 6: Final answer
    x = 1,055.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.