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Finding the Fourth Proportional to 1,006.20, 1,509.40 and 348.12

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Solution

The fourth proportional to 1,006.20, 1,509.40 and 348.12 is: 522.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.20 : 1,509.40 = 348.12 : x
  2. Step 2: Convert to fraction form
    1,006.20/1,509.40 = 348.12/x
  3. Step 3: Cross multiply
    1,006.20x = 1,509.40 × 348.12
  4. Step 4: Simplify right side
    1,006.20x = 525,452.76
  5. Step 5: Solve for x
    x = 525,452.76/1,006.20
  6. Step 6: Final answer
    x = 522.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.