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Finding the Fourth Proportional to 1,465.78, 2,022.80 and 876.66

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Solution

The fourth proportional to 1,465.78, 2,022.80 and 876.66 is: 1,209.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.78 : 2,022.80 = 876.66 : x
  2. Step 2: Convert to fraction form
    1,465.78/2,022.80 = 876.66/x
  3. Step 3: Cross multiply
    1,465.78x = 2,022.80 × 876.66
  4. Step 4: Simplify right side
    1,465.78x = 1,773,307.85
  5. Step 5: Solve for x
    x = 1,773,307.85/1,465.78
  6. Step 6: Final answer
    x = 1,209.80

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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.