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Finding the Fourth Proportional to 765.04, 1,146.03 and 724.66

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Solution

The fourth proportional to 765.04, 1,146.03 and 724.66 is: 1,085.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.04 : 1,146.03 = 724.66 : x
  2. Step 2: Convert to fraction form
    765.04/1,146.03 = 724.66/x
  3. Step 3: Cross multiply
    765.04x = 1,146.03 × 724.66
  4. Step 4: Simplify right side
    765.04x = 830,482.10
  5. Step 5: Solve for x
    x = 830,482.10/765.04
  6. Step 6: Final answer
    x = 1,085.54

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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.