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Finding the Fourth Proportional to 766.25, 1,057.06 and 471.01

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Solution

The fourth proportional to 766.25, 1,057.06 and 471.01 is: 649.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.25 : 1,057.06 = 471.01 : x
  2. Step 2: Convert to fraction form
    766.25/1,057.06 = 471.01/x
  3. Step 3: Cross multiply
    766.25x = 1,057.06 × 471.01
  4. Step 4: Simplify right side
    766.25x = 497,885.83
  5. Step 5: Solve for x
    x = 497,885.83/766.25
  6. Step 6: Final answer
    x = 649.77

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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.