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Finding the Fourth Proportional to 738.74, 1,019.48 and 407.19

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Solution

The fourth proportional to 738.74, 1,019.48 and 407.19 is: 561.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.74 : 1,019.48 = 407.19 : x
  2. Step 2: Convert to fraction form
    738.74/1,019.48 = 407.19/x
  3. Step 3: Cross multiply
    738.74x = 1,019.48 × 407.19
  4. Step 4: Simplify right side
    738.74x = 415,118.75
  5. Step 5: Solve for x
    x = 415,118.75/738.74
  6. Step 6: Final answer
    x = 561.93

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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.