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Finding the Fourth Proportional to 1,143.13, 1,714.92 and 527.03

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Solution

The fourth proportional to 1,143.13, 1,714.92 and 527.03 is: 790.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.13 : 1,714.92 = 527.03 : x
  2. Step 2: Convert to fraction form
    1,143.13/1,714.92 = 527.03/x
  3. Step 3: Cross multiply
    1,143.13x = 1,714.92 × 527.03
  4. Step 4: Simplify right side
    1,143.13x = 903,814.29
  5. Step 5: Solve for x
    x = 903,814.29/1,143.13
  6. Step 6: Final answer
    x = 790.65

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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.