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Finding the Fourth Proportional to 1,139.19, 1,570.83 and 740.34

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Solution

The fourth proportional to 1,139.19, 1,570.83 and 740.34 is: 1,020.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.19 : 1,570.83 = 740.34 : x
  2. Step 2: Convert to fraction form
    1,139.19/1,570.83 = 740.34/x
  3. Step 3: Cross multiply
    1,139.19x = 1,570.83 × 740.34
  4. Step 4: Simplify right side
    1,139.19x = 1,162,948.28
  5. Step 5: Solve for x
    x = 1,162,948.28/1,139.19
  6. Step 6: Final answer
    x = 1,020.86

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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.