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Finding the Fourth Proportional to 738.68, 1,019.40 and 407.11

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Solution

The fourth proportional to 738.68, 1,019.40 and 407.11 is: 561.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.68 : 1,019.40 = 407.11 : x
  2. Step 2: Convert to fraction form
    738.68/1,019.40 = 407.11/x
  3. Step 3: Cross multiply
    738.68x = 1,019.40 × 407.11
  4. Step 4: Simplify right side
    738.68x = 415,007.93
  5. Step 5: Solve for x
    x = 415,007.93/738.68
  6. Step 6: Final answer
    x = 561.82

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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.