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Finding the Fourth Proportional to 1,142.48, 1,577.41 and 876.46

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Solution

The fourth proportional to 1,142.48, 1,577.41 and 876.46 is: 1,210.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.48 : 1,577.41 = 876.46 : x
  2. Step 2: Convert to fraction form
    1,142.48/1,577.41 = 876.46/x
  3. Step 3: Cross multiply
    1,142.48x = 1,577.41 × 876.46
  4. Step 4: Simplify right side
    1,142.48x = 1,382,536.77
  5. Step 5: Solve for x
    x = 1,382,536.77/1,142.48
  6. Step 6: Final answer
    x = 1,210.12

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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.