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Finding the Fourth Proportional to 1,048.11, 1,565.48 and 949.14

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Solution

The fourth proportional to 1,048.11, 1,565.48 and 949.14 is: 1,417.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.11 : 1,565.48 = 949.14 : x
  2. Step 2: Convert to fraction form
    1,048.11/1,565.48 = 949.14/x
  3. Step 3: Cross multiply
    1,048.11x = 1,565.48 × 949.14
  4. Step 4: Simplify right side
    1,048.11x = 1,485,859.34
  5. Step 5: Solve for x
    x = 1,485,859.34/1,048.11
  6. Step 6: Final answer
    x = 1,417.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.