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Finding the Fourth Proportional to 1,007.71, 1,511.45 and 349.46

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Solution

The fourth proportional to 1,007.71, 1,511.45 and 349.46 is: 524.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.71 : 1,511.45 = 349.46 : x
  2. Step 2: Convert to fraction form
    1,007.71/1,511.45 = 349.46/x
  3. Step 3: Cross multiply
    1,007.71x = 1,511.45 × 349.46
  4. Step 4: Simplify right side
    1,007.71x = 528,198.11
  5. Step 5: Solve for x
    x = 528,198.11/1,007.71
  6. Step 6: Final answer
    x = 524.16

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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.