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Finding the Fourth Proportional to 1,046.07, 1,572.12 and 1,035.09

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Solution

The fourth proportional to 1,046.07, 1,572.12 and 1,035.09 is: 1,555.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.07 : 1,572.12 = 1,035.09 : x
  2. Step 2: Convert to fraction form
    1,046.07/1,572.12 = 1,035.09/x
  3. Step 3: Cross multiply
    1,046.07x = 1,572.12 × 1,035.09
  4. Step 4: Simplify right side
    1,046.07x = 1,627,285.69
  5. Step 5: Solve for x
    x = 1,627,285.69/1,046.07
  6. Step 6: Final answer
    x = 1,555.62

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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.