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Finding the Fourth Proportional to 761.12, 1,049.10 and 595.04

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Solution

The fourth proportional to 761.12, 1,049.10 and 595.04 is: 820.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.12 : 1,049.10 = 595.04 : x
  2. Step 2: Convert to fraction form
    761.12/1,049.10 = 595.04/x
  3. Step 3: Cross multiply
    761.12x = 1,049.10 × 595.04
  4. Step 4: Simplify right side
    761.12x = 624,256.46
  5. Step 5: Solve for x
    x = 624,256.46/761.12
  6. Step 6: Final answer
    x = 820.18

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