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Finding the Fourth Proportional to 1,005.98, 1,509.24 and 511.19

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Solution

The fourth proportional to 1,005.98, 1,509.24 and 511.19 is: 766.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.98 : 1,509.24 = 511.19 : x
  2. Step 2: Convert to fraction form
    1,005.98/1,509.24 = 511.19/x
  3. Step 3: Cross multiply
    1,005.98x = 1,509.24 × 511.19
  4. Step 4: Simplify right side
    1,005.98x = 771,508.40
  5. Step 5: Solve for x
    x = 771,508.40/1,005.98
  6. Step 6: Final answer
    x = 766.92

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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.