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Finding the Fourth Proportional to 1,049.12, 1,448.16 and 700.16

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Solution

The fourth proportional to 1,049.12, 1,448.16 and 700.16 is: 966.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.12 : 1,448.16 = 700.16 : x
  2. Step 2: Convert to fraction form
    1,049.12/1,448.16 = 700.16/x
  3. Step 3: Cross multiply
    1,049.12x = 1,448.16 × 700.16
  4. Step 4: Simplify right side
    1,049.12x = 1,013,943.71
  5. Step 5: Solve for x
    x = 1,013,943.71/1,049.12
  6. Step 6: Final answer
    x = 966.47

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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.