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Finding the Fourth Proportional to 1,031.06, 1,544.38 and 958.93

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Solution

The fourth proportional to 1,031.06, 1,544.38 and 958.93 is: 1,436.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.06 : 1,544.38 = 958.93 : x
  2. Step 2: Convert to fraction form
    1,031.06/1,544.38 = 958.93/x
  3. Step 3: Cross multiply
    1,031.06x = 1,544.38 × 958.93
  4. Step 4: Simplify right side
    1,031.06x = 1,480,952.31
  5. Step 5: Solve for x
    x = 1,480,952.31/1,031.06
  6. Step 6: Final answer
    x = 1,436.34

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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.