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Finding the Fourth Proportional to 1,269.16, 1,903.95 and 391.60

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Solution

The fourth proportional to 1,269.16, 1,903.95 and 391.60 is: 587.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.16 : 1,903.95 = 391.60 : x
  2. Step 2: Convert to fraction form
    1,269.16/1,903.95 = 391.60/x
  3. Step 3: Cross multiply
    1,269.16x = 1,903.95 × 391.60
  4. Step 4: Simplify right side
    1,269.16x = 745,586.82
  5. Step 5: Solve for x
    x = 745,586.82/1,269.16
  6. Step 6: Final answer
    x = 587.46

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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.