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Finding the Fourth Proportional to 1,009.98, 1,514.43 and 577.44

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Solution

The fourth proportional to 1,009.98, 1,514.43 and 577.44 is: 865.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.98 : 1,514.43 = 577.44 : x
  2. Step 2: Convert to fraction form
    1,009.98/1,514.43 = 577.44/x
  3. Step 3: Cross multiply
    1,009.98x = 1,514.43 × 577.44
  4. Step 4: Simplify right side
    1,009.98x = 874,492.46
  5. Step 5: Solve for x
    x = 874,492.46/1,009.98
  6. Step 6: Final answer
    x = 865.85

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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.