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Finding the Fourth Proportional to 1,042.48, 1,563.60 and 465.28

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Solution

The fourth proportional to 1,042.48, 1,563.60 and 465.28 is: 697.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.48 : 1,563.60 = 465.28 : x
  2. Step 2: Convert to fraction form
    1,042.48/1,563.60 = 465.28/x
  3. Step 3: Cross multiply
    1,042.48x = 1,563.60 × 465.28
  4. Step 4: Simplify right side
    1,042.48x = 727,511.81
  5. Step 5: Solve for x
    x = 727,511.81/1,042.48
  6. Step 6: Final answer
    x = 697.87

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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.