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Finding the Fourth Proportional to 1,040.65, 1,561.29 and 424.69

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Solution

The fourth proportional to 1,040.65, 1,561.29 and 424.69 is: 637.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.65 : 1,561.29 = 424.69 : x
  2. Step 2: Convert to fraction form
    1,040.65/1,561.29 = 424.69/x
  3. Step 3: Cross multiply
    1,040.65x = 1,561.29 × 424.69
  4. Step 4: Simplify right side
    1,040.65x = 663,064.25
  5. Step 5: Solve for x
    x = 663,064.25/1,040.65
  6. Step 6: Final answer
    x = 637.16

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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.