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Finding the Fourth Proportional to 1,005.83, 1,508.96 and 312.51

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Solution

The fourth proportional to 1,005.83, 1,508.96 and 312.51 is: 468.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.83 : 1,508.96 = 312.51 : x
  2. Step 2: Convert to fraction form
    1,005.83/1,508.96 = 312.51/x
  3. Step 3: Cross multiply
    1,005.83x = 1,508.96 × 312.51
  4. Step 4: Simplify right side
    1,005.83x = 471,565.09
  5. Step 5: Solve for x
    x = 471,565.09/1,005.83
  6. Step 6: Final answer
    x = 468.83

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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.