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Finding the Fourth Proportional to 860.18, 1,288.85 and 448.70

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Solution

The fourth proportional to 860.18, 1,288.85 and 448.70 is: 672.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.18 : 1,288.85 = 448.70 : x
  2. Step 2: Convert to fraction form
    860.18/1,288.85 = 448.70/x
  3. Step 3: Cross multiply
    860.18x = 1,288.85 × 448.70
  4. Step 4: Simplify right side
    860.18x = 578,298.31
  5. Step 5: Solve for x
    x = 578,298.31/860.18
  6. Step 6: Final answer
    x = 672.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.