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Finding the Fourth Proportional to 1,139.49, 1,572.68 and 642.26

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Solution

The fourth proportional to 1,139.49, 1,572.68 and 642.26 is: 886.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.49 : 1,572.68 = 642.26 : x
  2. Step 2: Convert to fraction form
    1,139.49/1,572.68 = 642.26/x
  3. Step 3: Cross multiply
    1,139.49x = 1,572.68 × 642.26
  4. Step 4: Simplify right side
    1,139.49x = 1,010,074.99
  5. Step 5: Solve for x
    x = 1,010,074.99/1,139.49
  6. Step 6: Final answer
    x = 886.43

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1.5x scale

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.