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Finding the Fourth Proportional to 738.09, 1,107.82 and 373.14

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Solution

The fourth proportional to 738.09, 1,107.82 and 373.14 is: 560.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.09 : 1,107.82 = 373.14 : x
  2. Step 2: Convert to fraction form
    738.09/1,107.82 = 373.14/x
  3. Step 3: Cross multiply
    738.09x = 1,107.82 × 373.14
  4. Step 4: Simplify right side
    738.09x = 413,366.42
  5. Step 5: Solve for x
    x = 413,366.42/738.09
  6. Step 6: Final answer
    x = 560.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.