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Finding the Fourth Proportional to 792.01, 1,185.68 and 587.50

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Solution

The fourth proportional to 792.01, 1,185.68 and 587.50 is: 879.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.01 : 1,185.68 = 587.50 : x
  2. Step 2: Convert to fraction form
    792.01/1,185.68 = 587.50/x
  3. Step 3: Cross multiply
    792.01x = 1,185.68 × 587.50
  4. Step 4: Simplify right side
    792.01x = 696,587
  5. Step 5: Solve for x
    x = 696,587/792.01
  6. Step 6: Final answer
    x = 879.52

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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.