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Finding the Fourth Proportional to 877.40, 1,315.46 and 466.20

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Solution

The fourth proportional to 877.40, 1,315.46 and 466.20 is: 698.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.40 : 1,315.46 = 466.20 : x
  2. Step 2: Convert to fraction form
    877.40/1,315.46 = 466.20/x
  3. Step 3: Cross multiply
    877.40x = 1,315.46 × 466.20
  4. Step 4: Simplify right side
    877.40x = 613,267.45
  5. Step 5: Solve for x
    x = 613,267.45/877.40
  6. Step 6: Final answer
    x = 698.96

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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.