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Finding the Fourth Proportional to 1,301.93, 1,952.86 and 479.87

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Solution

The fourth proportional to 1,301.93, 1,952.86 and 479.87 is: 719.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.93 : 1,952.86 = 479.87 : x
  2. Step 2: Convert to fraction form
    1,301.93/1,952.86 = 479.87/x
  3. Step 3: Cross multiply
    1,301.93x = 1,952.86 × 479.87
  4. Step 4: Simplify right side
    1,301.93x = 937,118.93
  5. Step 5: Solve for x
    x = 937,118.93/1,301.93
  6. Step 6: Final answer
    x = 719.79

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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.