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Finding the Fourth Proportional to 920.57, 1,270.35 and 566.46

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Solution

The fourth proportional to 920.57, 1,270.35 and 566.46 is: 781.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.57 : 1,270.35 = 566.46 : x
  2. Step 2: Convert to fraction form
    920.57/1,270.35 = 566.46/x
  3. Step 3: Cross multiply
    920.57x = 1,270.35 × 566.46
  4. Step 4: Simplify right side
    920.57x = 719,602.46
  5. Step 5: Solve for x
    x = 719,602.46/920.57
  6. Step 6: Final answer
    x = 781.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.