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Finding the Fourth Proportional to 1,042.57, 1,564.46 and 495.01

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Solution

The fourth proportional to 1,042.57, 1,564.46 and 495.01 is: 742.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.57 : 1,564.46 = 495.01 : x
  2. Step 2: Convert to fraction form
    1,042.57/1,564.46 = 495.01/x
  3. Step 3: Cross multiply
    1,042.57x = 1,564.46 × 495.01
  4. Step 4: Simplify right side
    1,042.57x = 774,413.05
  5. Step 5: Solve for x
    x = 774,413.05/1,042.57
  6. Step 6: Final answer
    x = 742.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.