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Finding the Fourth Proportional to 1,007.77, 1,511.87 and 358.50

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Solution

The fourth proportional to 1,007.77, 1,511.87 and 358.50 is: 537.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.77 : 1,511.87 = 358.50 : x
  2. Step 2: Convert to fraction form
    1,007.77/1,511.87 = 358.50/x
  3. Step 3: Cross multiply
    1,007.77x = 1,511.87 × 358.50
  4. Step 4: Simplify right side
    1,007.77x = 542,005.02
  5. Step 5: Solve for x
    x = 542,005.02/1,007.77
  6. Step 6: Final answer
    x = 537.83

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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.