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Finding the Fourth Proportional to 1,041.61, 1,562.49 and 348.25

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Solution

The fourth proportional to 1,041.61, 1,562.49 and 348.25 is: 522.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.61 : 1,562.49 = 348.25 : x
  2. Step 2: Convert to fraction form
    1,041.61/1,562.49 = 348.25/x
  3. Step 3: Cross multiply
    1,041.61x = 1,562.49 × 348.25
  4. Step 4: Simplify right side
    1,041.61x = 544,137.14
  5. Step 5: Solve for x
    x = 544,137.14/1,041.61
  6. Step 6: Final answer
    x = 522.40

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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.