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Finding the Fourth Proportional to 1,007.83, 1,511.81 and 358.39

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Solution

The fourth proportional to 1,007.83, 1,511.81 and 358.39 is: 537.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.83 : 1,511.81 = 358.39 : x
  2. Step 2: Convert to fraction form
    1,007.83/1,511.81 = 358.39/x
  3. Step 3: Cross multiply
    1,007.83x = 1,511.81 × 358.39
  4. Step 4: Simplify right side
    1,007.83x = 541,808.23
  5. Step 5: Solve for x
    x = 541,808.23/1,007.83
  6. Step 6: Final answer
    x = 537.60

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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.