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Finding the Fourth Proportional to 1,466.78, 2,023 and 877.18

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Solution

The fourth proportional to 1,466.78, 2,023 and 877.18 is: 1,209.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.78 : 2,023 = 877.18 : x
  2. Step 2: Convert to fraction form
    1,466.78/2,023 = 877.18/x
  3. Step 3: Cross multiply
    1,466.78x = 2,023 × 877.18
  4. Step 4: Simplify right side
    1,466.78x = 1,774,535.14
  5. Step 5: Solve for x
    x = 1,774,535.14/1,466.78
  6. Step 6: Final answer
    x = 1,209.82

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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.