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Finding the Fourth Proportional to 1,040.67, 1,560.87 and 424.26

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Solution

The fourth proportional to 1,040.67, 1,560.87 and 424.26 is: 636.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.67 : 1,560.87 = 424.26 : x
  2. Step 2: Convert to fraction form
    1,040.67/1,560.87 = 424.26/x
  3. Step 3: Cross multiply
    1,040.67x = 1,560.87 × 424.26
  4. Step 4: Simplify right side
    1,040.67x = 662,214.71
  5. Step 5: Solve for x
    x = 662,214.71/1,040.67
  6. Step 6: Final answer
    x = 636.33

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1.5x scale

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.