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Finding the Fourth Proportional to 770.06, 1,156.35 and 649.10

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Solution

The fourth proportional to 770.06, 1,156.35 and 649.10 is: 974.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.06 : 1,156.35 = 649.10 : x
  2. Step 2: Convert to fraction form
    770.06/1,156.35 = 649.10/x
  3. Step 3: Cross multiply
    770.06x = 1,156.35 × 649.10
  4. Step 4: Simplify right side
    770.06x = 750,586.79
  5. Step 5: Solve for x
    x = 750,586.79/770.06
  6. Step 6: Final answer
    x = 974.71

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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.