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Finding the Fourth Proportional to 741.63, 1,117.45 and 614.46

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Solution

The fourth proportional to 741.63, 1,117.45 and 614.46 is: 925.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.63 : 1,117.45 = 614.46 : x
  2. Step 2: Convert to fraction form
    741.63/1,117.45 = 614.46/x
  3. Step 3: Cross multiply
    741.63x = 1,117.45 × 614.46
  4. Step 4: Simplify right side
    741.63x = 686,628.33
  5. Step 5: Solve for x
    x = 686,628.33/741.63
  6. Step 6: Final answer
    x = 925.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.