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Finding the Fourth Proportional to 860.30, 1,187.70 and 595.13

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Solution

The fourth proportional to 860.30, 1,187.70 and 595.13 is: 821.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.30 : 1,187.70 = 595.13 : x
  2. Step 2: Convert to fraction form
    860.30/1,187.70 = 595.13/x
  3. Step 3: Cross multiply
    860.30x = 1,187.70 × 595.13
  4. Step 4: Simplify right side
    860.30x = 706,835.90
  5. Step 5: Solve for x
    x = 706,835.90/860.30
  6. Step 6: Final answer
    x = 821.62

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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.