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Finding the Fourth Proportional to 1,009.13, 1,514.50 and 522.32

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Solution

The fourth proportional to 1,009.13, 1,514.50 and 522.32 is: 783.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.13 : 1,514.50 = 522.32 : x
  2. Step 2: Convert to fraction form
    1,009.13/1,514.50 = 522.32/x
  3. Step 3: Cross multiply
    1,009.13x = 1,514.50 × 522.32
  4. Step 4: Simplify right side
    1,009.13x = 791,044.76
  5. Step 5: Solve for x
    x = 791,044.76/1,009.13
  6. Step 6: Final answer
    x = 783.89

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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.