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Finding the Fourth Proportional to 1,007.18, 1,510.43 and 348.92

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Solution

The fourth proportional to 1,007.18, 1,510.43 and 348.92 is: 523.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.18 : 1,510.43 = 348.92 : x
  2. Step 2: Convert to fraction form
    1,007.18/1,510.43 = 348.92/x
  3. Step 3: Cross multiply
    1,007.18x = 1,510.43 × 348.92
  4. Step 4: Simplify right side
    1,007.18x = 527,009.94
  5. Step 5: Solve for x
    x = 527,009.94/1,007.18
  6. Step 6: Final answer
    x = 523.26

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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.