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Finding the Fourth Proportional to 1,048.18, 1,572.84 and 965.56

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Solution

The fourth proportional to 1,048.18, 1,572.84 and 965.56 is: 1,448.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.18 : 1,572.84 = 965.56 : x
  2. Step 2: Convert to fraction form
    1,048.18/1,572.84 = 965.56/x
  3. Step 3: Cross multiply
    1,048.18x = 1,572.84 × 965.56
  4. Step 4: Simplify right side
    1,048.18x = 1,518,671.39
  5. Step 5: Solve for x
    x = 1,518,671.39/1,048.18
  6. Step 6: Final answer
    x = 1,448.87

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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.