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Finding the Fourth Proportional to 1,057.04, 1,455.72 and 959.12

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Solution

The fourth proportional to 1,057.04, 1,455.72 and 959.12 is: 1,320.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.04 : 1,455.72 = 959.12 : x
  2. Step 2: Convert to fraction form
    1,057.04/1,455.72 = 959.12/x
  3. Step 3: Cross multiply
    1,057.04x = 1,455.72 × 959.12
  4. Step 4: Simplify right side
    1,057.04x = 1,396,210.17
  5. Step 5: Solve for x
    x = 1,396,210.17/1,057.04
  6. Step 6: Final answer
    x = 1,320.87

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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.