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Finding the Fourth Proportional to 770.74, 1,157.08 and 498.04

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Solution

The fourth proportional to 770.74, 1,157.08 and 498.04 is: 747.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.74 : 1,157.08 = 498.04 : x
  2. Step 2: Convert to fraction form
    770.74/1,157.08 = 498.04/x
  3. Step 3: Cross multiply
    770.74x = 1,157.08 × 498.04
  4. Step 4: Simplify right side
    770.74x = 576,272.12
  5. Step 5: Solve for x
    x = 576,272.12/770.74
  6. Step 6: Final answer
    x = 747.69

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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.