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Finding the Fourth Proportional to 750.66, 1,034.74 and 736.08

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Solution

The fourth proportional to 750.66, 1,034.74 and 736.08 is: 1,014.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.66 : 1,034.74 = 736.08 : x
  2. Step 2: Convert to fraction form
    750.66/1,034.74 = 736.08/x
  3. Step 3: Cross multiply
    750.66x = 1,034.74 × 736.08
  4. Step 4: Simplify right side
    750.66x = 761,651.42
  5. Step 5: Solve for x
    x = 761,651.42/750.66
  6. Step 6: Final answer
    x = 1,014.64

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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.