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Finding the Fourth Proportional to 1,332.44, 1,838.76 and 742.94

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Solution

The fourth proportional to 1,332.44, 1,838.76 and 742.94 is: 1,025.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,332.44 : 1,838.76 = 742.94 : x
  2. Step 2: Convert to fraction form
    1,332.44/1,838.76 = 742.94/x
  3. Step 3: Cross multiply
    1,332.44x = 1,838.76 × 742.94
  4. Step 4: Simplify right side
    1,332.44x = 1,366,088.35
  5. Step 5: Solve for x
    x = 1,366,088.35/1,332.44
  6. Step 6: Final answer
    x = 1,025.25

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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.