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Finding the Fourth Proportional to 1,031.75, 1,547.19 and 447.02

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Solution

The fourth proportional to 1,031.75, 1,547.19 and 447.02 is: 670.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.75 : 1,547.19 = 447.02 : x
  2. Step 2: Convert to fraction form
    1,031.75/1,547.19 = 447.02/x
  3. Step 3: Cross multiply
    1,031.75x = 1,547.19 × 447.02
  4. Step 4: Simplify right side
    1,031.75x = 691,624.87
  5. Step 5: Solve for x
    x = 691,624.87/1,031.75
  6. Step 6: Final answer
    x = 670.34

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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.