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Finding the Fourth Proportional to 1,042.16, 1,563.06 and 392.84

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Solution

The fourth proportional to 1,042.16, 1,563.06 and 392.84 is: 589.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.16 : 1,563.06 = 392.84 : x
  2. Step 2: Convert to fraction form
    1,042.16/1,563.06 = 392.84/x
  3. Step 3: Cross multiply
    1,042.16x = 1,563.06 × 392.84
  4. Step 4: Simplify right side
    1,042.16x = 614,032.49
  5. Step 5: Solve for x
    x = 614,032.49/1,042.16
  6. Step 6: Final answer
    x = 589.19

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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.