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Finding the Fourth Proportional to 832.29, 1,149.06 and 740.01

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Solution

The fourth proportional to 832.29, 1,149.06 and 740.01 is: 1,021.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.29 : 1,149.06 = 740.01 : x
  2. Step 2: Convert to fraction form
    832.29/1,149.06 = 740.01/x
  3. Step 3: Cross multiply
    832.29x = 1,149.06 × 740.01
  4. Step 4: Simplify right side
    832.29x = 850,315.89
  5. Step 5: Solve for x
    x = 850,315.89/832.29
  6. Step 6: Final answer
    x = 1,021.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.