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Finding the Fourth Proportional to 1,350.42, 1,863.41 and 752.77

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Solution

The fourth proportional to 1,350.42, 1,863.41 and 752.77 is: 1,038.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350.42 : 1,863.41 = 752.77 : x
  2. Step 2: Convert to fraction form
    1,350.42/1,863.41 = 752.77/x
  3. Step 3: Cross multiply
    1,350.42x = 1,863.41 × 752.77
  4. Step 4: Simplify right side
    1,350.42x = 1,402,710.41
  5. Step 5: Solve for x
    x = 1,402,710.41/1,350.42
  6. Step 6: Final answer
    x = 1,038.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.