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Finding the Fourth Proportional to 1,006.77, 1,509.98 and 276.18

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Solution

The fourth proportional to 1,006.77, 1,509.98 and 276.18 is: 414.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.77 : 1,509.98 = 276.18 : x
  2. Step 2: Convert to fraction form
    1,006.77/1,509.98 = 276.18/x
  3. Step 3: Cross multiply
    1,006.77x = 1,509.98 × 276.18
  4. Step 4: Simplify right side
    1,006.77x = 417,026.28
  5. Step 5: Solve for x
    x = 417,026.28/1,006.77
  6. Step 6: Final answer
    x = 414.22

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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.