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Finding the Fourth Proportional to 1,007.74, 1,511.70 and 391.74

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Solution

The fourth proportional to 1,007.74, 1,511.70 and 391.74 is: 587.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.74 : 1,511.70 = 391.74 : x
  2. Step 2: Convert to fraction form
    1,007.74/1,511.70 = 391.74/x
  3. Step 3: Cross multiply
    1,007.74x = 1,511.70 × 391.74
  4. Step 4: Simplify right side
    1,007.74x = 592,193.36
  5. Step 5: Solve for x
    x = 592,193.36/1,007.74
  6. Step 6: Final answer
    x = 587.64

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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.