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Finding the Fourth Proportional to 770.64, 1,156.53 and 565.74

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Solution

The fourth proportional to 770.64, 1,156.53 and 565.74 is: 849.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.64 : 1,156.53 = 565.74 : x
  2. Step 2: Convert to fraction form
    770.64/1,156.53 = 565.74/x
  3. Step 3: Cross multiply
    770.64x = 1,156.53 × 565.74
  4. Step 4: Simplify right side
    770.64x = 654,295.28
  5. Step 5: Solve for x
    x = 654,295.28/770.64
  6. Step 6: Final answer
    x = 849.03

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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.