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Finding the Fourth Proportional to 1,011.90, 1,514.61 and 524.28

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Solution

The fourth proportional to 1,011.90, 1,514.61 and 524.28 is: 784.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.90 : 1,514.61 = 524.28 : x
  2. Step 2: Convert to fraction form
    1,011.90/1,514.61 = 524.28/x
  3. Step 3: Cross multiply
    1,011.90x = 1,514.61 × 524.28
  4. Step 4: Simplify right side
    1,011.90x = 794,079.73
  5. Step 5: Solve for x
    x = 794,079.73/1,011.90
  6. Step 6: Final answer
    x = 784.74

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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.