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Finding the Fourth Proportional to 1,010.81, 1,514.38 and 524.20

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Solution

The fourth proportional to 1,010.81, 1,514.38 and 524.20 is: 785.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.81 : 1,514.38 = 524.20 : x
  2. Step 2: Convert to fraction form
    1,010.81/1,514.38 = 524.20/x
  3. Step 3: Cross multiply
    1,010.81x = 1,514.38 × 524.20
  4. Step 4: Simplify right side
    1,010.81x = 793,832.90
  5. Step 5: Solve for x
    x = 793,832.90/1,010.81
  6. Step 6: Final answer
    x = 785.35

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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.