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Finding the Fourth Proportional to 1,143.49, 1,577.07 and 701.08

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Solution

The fourth proportional to 1,143.49, 1,577.07 and 701.08 is: 966.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.49 : 1,577.07 = 701.08 : x
  2. Step 2: Convert to fraction form
    1,143.49/1,577.07 = 701.08/x
  3. Step 3: Cross multiply
    1,143.49x = 1,577.07 × 701.08
  4. Step 4: Simplify right side
    1,143.49x = 1,105,652.24
  5. Step 5: Solve for x
    x = 1,105,652.24/1,143.49
  6. Step 6: Final answer
    x = 966.91

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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.