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Finding the Fourth Proportional to 1,403.65, 2,105.79 and 479.17

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Solution

The fourth proportional to 1,403.65, 2,105.79 and 479.17 is: 718.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.65 : 2,105.79 = 479.17 : x
  2. Step 2: Convert to fraction form
    1,403.65/2,105.79 = 479.17/x
  3. Step 3: Cross multiply
    1,403.65x = 2,105.79 × 479.17
  4. Step 4: Simplify right side
    1,403.65x = 1,009,031.39
  5. Step 5: Solve for x
    x = 1,009,031.39/1,403.65
  6. Step 6: Final answer
    x = 718.86

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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.