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Finding the Fourth Proportional to 1,031.84, 1,547.66 and 301.42

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Solution

The fourth proportional to 1,031.84, 1,547.66 and 301.42 is: 452.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.84 : 1,547.66 = 301.42 : x
  2. Step 2: Convert to fraction form
    1,031.84/1,547.66 = 301.42/x
  3. Step 3: Cross multiply
    1,031.84x = 1,547.66 × 301.42
  4. Step 4: Simplify right side
    1,031.84x = 466,496.67
  5. Step 5: Solve for x
    x = 466,496.67/1,031.84
  6. Step 6: Final answer
    x = 452.10

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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.