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Finding the Fourth Proportional to 975.80, 1,463.90 and 565.34

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Solution

The fourth proportional to 975.80, 1,463.90 and 565.34 is: 848.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.80 : 1,463.90 = 565.34 : x
  2. Step 2: Convert to fraction form
    975.80/1,463.90 = 565.34/x
  3. Step 3: Cross multiply
    975.80x = 1,463.90 × 565.34
  4. Step 4: Simplify right side
    975.80x = 827,591.08
  5. Step 5: Solve for x
    x = 827,591.08/975.80
  6. Step 6: Final answer
    x = 848.12

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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.