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Finding the Fourth Proportional to 1,031.30, 1,547.71 and 641.87

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Solution

The fourth proportional to 1,031.30, 1,547.71 and 641.87 is: 963.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.30 : 1,547.71 = 641.87 : x
  2. Step 2: Convert to fraction form
    1,031.30/1,547.71 = 641.87/x
  3. Step 3: Cross multiply
    1,031.30x = 1,547.71 × 641.87
  4. Step 4: Simplify right side
    1,031.30x = 993,430.88
  5. Step 5: Solve for x
    x = 993,430.88/1,031.30
  6. Step 6: Final answer
    x = 963.28

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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.