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Finding the Fourth Proportional to 860.78, 1,187.90 and 529.02

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Solution

The fourth proportional to 860.78, 1,187.90 and 529.02 is: 730.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.78 : 1,187.90 = 529.02 : x
  2. Step 2: Convert to fraction form
    860.78/1,187.90 = 529.02/x
  3. Step 3: Cross multiply
    860.78x = 1,187.90 × 529.02
  4. Step 4: Simplify right side
    860.78x = 628,422.86
  5. Step 5: Solve for x
    x = 628,422.86/860.78
  6. Step 6: Final answer
    x = 730.06

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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.