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Finding the Fourth Proportional to 1,041.54, 1,562.88 and 348.42

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Solution

The fourth proportional to 1,041.54, 1,562.88 and 348.42 is: 522.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.54 : 1,562.88 = 348.42 : x
  2. Step 2: Convert to fraction form
    1,041.54/1,562.88 = 348.42/x
  3. Step 3: Cross multiply
    1,041.54x = 1,562.88 × 348.42
  4. Step 4: Simplify right side
    1,041.54x = 544,538.65
  5. Step 5: Solve for x
    x = 544,538.65/1,041.54
  6. Step 6: Final answer
    x = 522.82

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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.