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Finding the Fourth Proportional to 875.35, 1,208.16 and 560.53

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Solution

The fourth proportional to 875.35, 1,208.16 and 560.53 is: 773.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.35 : 1,208.16 = 560.53 : x
  2. Step 2: Convert to fraction form
    875.35/1,208.16 = 560.53/x
  3. Step 3: Cross multiply
    875.35x = 1,208.16 × 560.53
  4. Step 4: Simplify right side
    875.35x = 677,209.92
  5. Step 5: Solve for x
    x = 677,209.92/875.35
  6. Step 6: Final answer
    x = 773.64

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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.