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Finding the Fourth Proportional to 1,758.12, 2,636.65 and 587.83

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Solution

The fourth proportional to 1,758.12, 2,636.65 and 587.83 is: 881.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,758.12 : 2,636.65 = 587.83 : x
  2. Step 2: Convert to fraction form
    1,758.12/2,636.65 = 587.83/x
  3. Step 3: Cross multiply
    1,758.12x = 2,636.65 × 587.83
  4. Step 4: Simplify right side
    1,758.12x = 1,549,892.27
  5. Step 5: Solve for x
    x = 1,549,892.27/1,758.12
  6. Step 6: Final answer
    x = 881.56

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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.