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Finding the Fourth Proportional to 870.84, 1,201.78 and 477.86

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Solution

The fourth proportional to 870.84, 1,201.78 and 477.86 is: 659.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.84 : 1,201.78 = 477.86 : x
  2. Step 2: Convert to fraction form
    870.84/1,201.78 = 477.86/x
  3. Step 3: Cross multiply
    870.84x = 1,201.78 × 477.86
  4. Step 4: Simplify right side
    870.84x = 574,282.59
  5. Step 5: Solve for x
    x = 574,282.59/870.84
  6. Step 6: Final answer
    x = 659.46

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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.