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Finding the Fourth Proportional to 1,332.05, 1,838.23 and 742.70

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Solution

The fourth proportional to 1,332.05, 1,838.23 and 742.70 is: 1,024.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,332.05 : 1,838.23 = 742.70 : x
  2. Step 2: Convert to fraction form
    1,332.05/1,838.23 = 742.70/x
  3. Step 3: Cross multiply
    1,332.05x = 1,838.23 × 742.70
  4. Step 4: Simplify right side
    1,332.05x = 1,365,256.16
  5. Step 5: Solve for x
    x = 1,365,256.16/1,332.05
  6. Step 6: Final answer
    x = 1,024.93

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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.