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Finding the Fourth Proportional to 1,079.95, 1,488.81 and 913.49

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Solution

The fourth proportional to 1,079.95, 1,488.81 and 913.49 is: 1,259.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.95 : 1,488.81 = 913.49 : x
  2. Step 2: Convert to fraction form
    1,079.95/1,488.81 = 913.49/x
  3. Step 3: Cross multiply
    1,079.95x = 1,488.81 × 913.49
  4. Step 4: Simplify right side
    1,079.95x = 1,360,013.05
  5. Step 5: Solve for x
    x = 1,360,013.05/1,079.95
  6. Step 6: Final answer
    x = 1,259.33

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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.