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Finding the Fourth Proportional to 1,758.85, 2,637.54 and 718.14

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Solution

The fourth proportional to 1,758.85, 2,637.54 and 718.14 is: 1,076.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,758.85 : 2,637.54 = 718.14 : x
  2. Step 2: Convert to fraction form
    1,758.85/2,637.54 = 718.14/x
  3. Step 3: Cross multiply
    1,758.85x = 2,637.54 × 718.14
  4. Step 4: Simplify right side
    1,758.85x = 1,894,122.98
  5. Step 5: Solve for x
    x = 1,894,122.98/1,758.85
  6. Step 6: Final answer
    x = 1,076.91

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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.