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Finding the Fourth Proportional to 1,139.63, 1,574.17 and 919.40

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Solution

The fourth proportional to 1,139.63, 1,574.17 and 919.40 is: 1,269.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.63 : 1,574.17 = 919.40 : x
  2. Step 2: Convert to fraction form
    1,139.63/1,574.17 = 919.40/x
  3. Step 3: Cross multiply
    1,139.63x = 1,574.17 × 919.40
  4. Step 4: Simplify right side
    1,139.63x = 1,447,281.73
  5. Step 5: Solve for x
    x = 1,447,281.73/1,139.63
  6. Step 6: Final answer
    x = 1,269.96

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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.