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Finding the Fourth Proportional to 1,031.59, 1,547.64 and 511.84

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Solution

The fourth proportional to 1,031.59, 1,547.64 and 511.84 is: 767.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.59 : 1,547.64 = 511.84 : x
  2. Step 2: Convert to fraction form
    1,031.59/1,547.64 = 511.84/x
  3. Step 3: Cross multiply
    1,031.59x = 1,547.64 × 511.84
  4. Step 4: Simplify right side
    1,031.59x = 792,137.29
  5. Step 5: Solve for x
    x = 792,137.29/1,031.59
  6. Step 6: Final answer
    x = 767.88

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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.