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Finding the Fourth Proportional to 1,031.93, 1,547.86 and 251.93

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Solution

The fourth proportional to 1,031.93, 1,547.86 and 251.93 is: 377.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.93 : 1,547.86 = 251.93 : x
  2. Step 2: Convert to fraction form
    1,031.93/1,547.86 = 251.93/x
  3. Step 3: Cross multiply
    1,031.93x = 1,547.86 × 251.93
  4. Step 4: Simplify right side
    1,031.93x = 389,955.14
  5. Step 5: Solve for x
    x = 389,955.14/1,031.93
  6. Step 6: Final answer
    x = 377.89

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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.