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Finding the Fourth Proportional to 1,031.29, 1,547.37 and 684.74

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Solution

The fourth proportional to 1,031.29, 1,547.37 and 684.74 is: 1,027.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.29 : 1,547.37 = 684.74 : x
  2. Step 2: Convert to fraction form
    1,031.29/1,547.37 = 684.74/x
  3. Step 3: Cross multiply
    1,031.29x = 1,547.37 × 684.74
  4. Step 4: Simplify right side
    1,031.29x = 1,059,546.13
  5. Step 5: Solve for x
    x = 1,059,546.13/1,031.29
  6. Step 6: Final answer
    x = 1,027.40

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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.