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Finding the Fourth Proportional to 770.53, 1,152.96 and 462.60

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Solution

The fourth proportional to 770.53, 1,152.96 and 462.60 is: 692.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.53 : 1,152.96 = 462.60 : x
  2. Step 2: Convert to fraction form
    770.53/1,152.96 = 462.60/x
  3. Step 3: Cross multiply
    770.53x = 1,152.96 × 462.60
  4. Step 4: Simplify right side
    770.53x = 533,359.30
  5. Step 5: Solve for x
    x = 533,359.30/770.53
  6. Step 6: Final answer
    x = 692.20

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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.