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Finding the Fourth Proportional to 1,031.35, 1,547.27 and 300.94

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Solution

The fourth proportional to 1,031.35, 1,547.27 and 300.94 is: 451.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.35 : 1,547.27 = 300.94 : x
  2. Step 2: Convert to fraction form
    1,031.35/1,547.27 = 300.94/x
  3. Step 3: Cross multiply
    1,031.35x = 1,547.27 × 300.94
  4. Step 4: Simplify right side
    1,031.35x = 465,635.43
  5. Step 5: Solve for x
    x = 465,635.43/1,031.35
  6. Step 6: Final answer
    x = 451.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.