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Finding the Fourth Proportional to 1,604.95, 2,407.49 and 783.91

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Solution

The fourth proportional to 1,604.95, 2,407.49 and 783.91 is: 1,175.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.95 : 2,407.49 = 783.91 : x
  2. Step 2: Convert to fraction form
    1,604.95/2,407.49 = 783.91/x
  3. Step 3: Cross multiply
    1,604.95x = 2,407.49 × 783.91
  4. Step 4: Simplify right side
    1,604.95x = 1,887,251.57
  5. Step 5: Solve for x
    x = 1,887,251.57/1,604.95
  6. Step 6: Final answer
    x = 1,175.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.