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Finding the Fourth Proportional to 1,466.85, 2,024.25 and 877.38

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Solution

The fourth proportional to 1,466.85, 2,024.25 and 877.38 is: 1,210.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.85 : 2,024.25 = 877.38 : x
  2. Step 2: Convert to fraction form
    1,466.85/2,024.25 = 877.38/x
  3. Step 3: Cross multiply
    1,466.85x = 2,024.25 × 877.38
  4. Step 4: Simplify right side
    1,466.85x = 1,776,036.47
  5. Step 5: Solve for x
    x = 1,776,036.47/1,466.85
  6. Step 6: Final answer
    x = 1,210.78

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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.