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Finding the Fourth Proportional to 1,031.42, 1,547.40 and 301

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Solution

The fourth proportional to 1,031.42, 1,547.40 and 301 is: 451.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.42 : 1,547.40 = 301 : x
  2. Step 2: Convert to fraction form
    1,031.42/1,547.40 = 301/x
  3. Step 3: Cross multiply
    1,031.42x = 1,547.40 × 301
  4. Step 4: Simplify right side
    1,031.42x = 465,767.40
  5. Step 5: Solve for x
    x = 465,767.40/1,031.42
  6. Step 6: Final answer
    x = 451.58

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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.