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Finding the Fourth Proportional to 877.60, 1,315.82 and 466.48

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Solution

The fourth proportional to 877.60, 1,315.82 and 466.48 is: 699.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.60 : 1,315.82 = 466.48 : x
  2. Step 2: Convert to fraction form
    877.60/1,315.82 = 466.48/x
  3. Step 3: Cross multiply
    877.60x = 1,315.82 × 466.48
  4. Step 4: Simplify right side
    877.60x = 613,803.71
  5. Step 5: Solve for x
    x = 613,803.71/877.60
  6. Step 6: Final answer
    x = 699.41

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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.