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Finding the Fourth Proportional to 1,035.46, 1,429.05 and 642.82

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Solution

The fourth proportional to 1,035.46, 1,429.05 and 642.82 is: 887.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.46 : 1,429.05 = 642.82 : x
  2. Step 2: Convert to fraction form
    1,035.46/1,429.05 = 642.82/x
  3. Step 3: Cross multiply
    1,035.46x = 1,429.05 × 642.82
  4. Step 4: Simplify right side
    1,035.46x = 918,621.92
  5. Step 5: Solve for x
    x = 918,621.92/1,035.46
  6. Step 6: Final answer
    x = 887.16

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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.