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Finding the Fourth Proportional to 770.12, 1,154.40 and 461.60

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Solution

The fourth proportional to 770.12, 1,154.40 and 461.60 is: 691.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.12 : 1,154.40 = 461.60 : x
  2. Step 2: Convert to fraction form
    770.12/1,154.40 = 461.60/x
  3. Step 3: Cross multiply
    770.12x = 1,154.40 × 461.60
  4. Step 4: Simplify right side
    770.12x = 532,871.04
  5. Step 5: Solve for x
    x = 532,871.04/770.12
  6. Step 6: Final answer
    x = 691.93

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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.