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Finding the Fourth Proportional to 1,140.92, 1,574.42 and 699.56

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Solution

The fourth proportional to 1,140.92, 1,574.42 and 699.56 is: 965.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.92 : 1,574.42 = 699.56 : x
  2. Step 2: Convert to fraction form
    1,140.92/1,574.42 = 699.56/x
  3. Step 3: Cross multiply
    1,140.92x = 1,574.42 × 699.56
  4. Step 4: Simplify right side
    1,140.92x = 1,101,401.26
  5. Step 5: Solve for x
    x = 1,101,401.26/1,140.92
  6. Step 6: Final answer
    x = 965.36

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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.