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Finding the Fourth Proportional to 746.66, 1,026.69 and 723.59

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Solution

The fourth proportional to 746.66, 1,026.69 and 723.59 is: 994.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.66 : 1,026.69 = 723.59 : x
  2. Step 2: Convert to fraction form
    746.66/1,026.69 = 723.59/x
  3. Step 3: Cross multiply
    746.66x = 1,026.69 × 723.59
  4. Step 4: Simplify right side
    746.66x = 742,904.94
  5. Step 5: Solve for x
    x = 742,904.94/746.66
  6. Step 6: Final answer
    x = 994.98

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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.