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Finding the Fourth Proportional to 1,006.61, 1,509.93 and 276.25

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Solution

The fourth proportional to 1,006.61, 1,509.93 and 276.25 is: 414.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.61 : 1,509.93 = 276.25 : x
  2. Step 2: Convert to fraction form
    1,006.61/1,509.93 = 276.25/x
  3. Step 3: Cross multiply
    1,006.61x = 1,509.93 × 276.25
  4. Step 4: Simplify right side
    1,006.61x = 417,110.61
  5. Step 5: Solve for x
    x = 417,110.61/1,006.61
  6. Step 6: Final answer
    x = 414.37

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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.