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Finding the Fourth Proportional to 1,009.70, 1,514.73 and 461.94

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Solution

The fourth proportional to 1,009.70, 1,514.73 and 461.94 is: 693.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.70 : 1,514.73 = 461.94 : x
  2. Step 2: Convert to fraction form
    1,009.70/1,514.73 = 461.94/x
  3. Step 3: Cross multiply
    1,009.70x = 1,514.73 × 461.94
  4. Step 4: Simplify right side
    1,009.70x = 699,714.38
  5. Step 5: Solve for x
    x = 699,714.38/1,009.70
  6. Step 6: Final answer
    x = 693.00

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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.