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Finding the Fourth Proportional to 1,006.16, 1,509.21 and 348.49

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Solution

The fourth proportional to 1,006.16, 1,509.21 and 348.49 is: 522.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.16 : 1,509.21 = 348.49 : x
  2. Step 2: Convert to fraction form
    1,006.16/1,509.21 = 348.49/x
  3. Step 3: Cross multiply
    1,006.16x = 1,509.21 × 348.49
  4. Step 4: Simplify right side
    1,006.16x = 525,944.59
  5. Step 5: Solve for x
    x = 525,944.59/1,006.16
  6. Step 6: Final answer
    x = 522.72

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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.