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Finding the Fourth Proportional to 770.61, 1,156.15 and 462.84

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Solution

The fourth proportional to 770.61, 1,156.15 and 462.84 is: 694.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.61 : 1,156.15 = 462.84 : x
  2. Step 2: Convert to fraction form
    770.61/1,156.15 = 462.84/x
  3. Step 3: Cross multiply
    770.61x = 1,156.15 × 462.84
  4. Step 4: Simplify right side
    770.61x = 535,110.66
  5. Step 5: Solve for x
    x = 535,110.66/770.61
  6. Step 6: Final answer
    x = 694.40

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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.