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Finding the Fourth Proportional to 1,040.85, 1,561.47 and 347.45

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Solution

The fourth proportional to 1,040.85, 1,561.47 and 347.45 is: 521.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.85 : 1,561.47 = 347.45 : x
  2. Step 2: Convert to fraction form
    1,040.85/1,561.47 = 347.45/x
  3. Step 3: Cross multiply
    1,040.85x = 1,561.47 × 347.45
  4. Step 4: Simplify right side
    1,040.85x = 542,536.66
  5. Step 5: Solve for x
    x = 542,536.66/1,040.85
  6. Step 6: Final answer
    x = 521.24

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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.