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Finding the Fourth Proportional to 1,031.65, 1,547.74 and 511.90

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Solution

The fourth proportional to 1,031.65, 1,547.74 and 511.90 is: 767.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.65 : 1,547.74 = 511.90 : x
  2. Step 2: Convert to fraction form
    1,031.65/1,547.74 = 511.90/x
  3. Step 3: Cross multiply
    1,031.65x = 1,547.74 × 511.90
  4. Step 4: Simplify right side
    1,031.65x = 792,281.68
  5. Step 5: Solve for x
    x = 792,281.68/1,031.65
  6. Step 6: Final answer
    x = 767.97

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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.