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Finding the Fourth Proportional to 1,041.66, 1,562.56 and 348.30

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Solution

The fourth proportional to 1,041.66, 1,562.56 and 348.30 is: 522.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.66 : 1,562.56 = 348.30 : x
  2. Step 2: Convert to fraction form
    1,041.66/1,562.56 = 348.30/x
  3. Step 3: Cross multiply
    1,041.66x = 1,562.56 × 348.30
  4. Step 4: Simplify right side
    1,041.66x = 544,238.78
  5. Step 5: Solve for x
    x = 544,238.78/1,041.66
  6. Step 6: Final answer
    x = 522.47

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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.