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Finding the Fourth Proportional to 740.04, 1,108.68 and 462.48

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Solution

The fourth proportional to 740.04, 1,108.68 and 462.48 is: 692.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.04 : 1,108.68 = 462.48 : x
  2. Step 2: Convert to fraction form
    740.04/1,108.68 = 462.48/x
  3. Step 3: Cross multiply
    740.04x = 1,108.68 × 462.48
  4. Step 4: Simplify right side
    740.04x = 512,742.33
  5. Step 5: Solve for x
    x = 512,742.33/740.04
  6. Step 6: Final answer
    x = 692.86

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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.