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Finding the Fourth Proportional to 1,393.23, 2,089.49 and 527.07

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Solution

The fourth proportional to 1,393.23, 2,089.49 and 527.07 is: 790.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.23 : 2,089.49 = 527.07 : x
  2. Step 2: Convert to fraction form
    1,393.23/2,089.49 = 527.07/x
  3. Step 3: Cross multiply
    1,393.23x = 2,089.49 × 527.07
  4. Step 4: Simplify right side
    1,393.23x = 1,101,304.86
  5. Step 5: Solve for x
    x = 1,101,304.86/1,393.23
  6. Step 6: Final answer
    x = 790.47

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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.