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Finding the Fourth Proportional to 738.91, 1,019.76 and 407.37

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Solution

The fourth proportional to 738.91, 1,019.76 and 407.37 is: 562.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.91 : 1,019.76 = 407.37 : x
  2. Step 2: Convert to fraction form
    738.91/1,019.76 = 407.37/x
  3. Step 3: Cross multiply
    738.91x = 1,019.76 × 407.37
  4. Step 4: Simplify right side
    738.91x = 415,419.63
  5. Step 5: Solve for x
    x = 415,419.63/738.91
  6. Step 6: Final answer
    x = 562.20

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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.