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Finding the Fourth Proportional to 1,042.03, 1,563.32 and 392.77

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Solution

The fourth proportional to 1,042.03, 1,563.32 and 392.77 is: 589.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.03 : 1,563.32 = 392.77 : x
  2. Step 2: Convert to fraction form
    1,042.03/1,563.32 = 392.77/x
  3. Step 3: Cross multiply
    1,042.03x = 1,563.32 × 392.77
  4. Step 4: Simplify right side
    1,042.03x = 614,025.20
  5. Step 5: Solve for x
    x = 614,025.20/1,042.03
  6. Step 6: Final answer
    x = 589.26

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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.