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Finding the Fourth Proportional to 738.73, 1,019.41 and 407.10

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Solution

The fourth proportional to 738.73, 1,019.41 and 407.10 is: 561.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.73 : 1,019.41 = 407.10 : x
  2. Step 2: Convert to fraction form
    738.73/1,019.41 = 407.10/x
  3. Step 3: Cross multiply
    738.73x = 1,019.41 × 407.10
  4. Step 4: Simplify right side
    738.73x = 415,002.89
  5. Step 5: Solve for x
    x = 415,002.89/738.73
  6. Step 6: Final answer
    x = 561.78

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1.5x scale

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.