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Finding the Fourth Proportional to 738.58, 1,106.88 and 600.07

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Solution

The fourth proportional to 738.58, 1,106.88 and 600.07 is: 899.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.58 : 1,106.88 = 600.07 : x
  2. Step 2: Convert to fraction form
    738.58/1,106.88 = 600.07/x
  3. Step 3: Cross multiply
    738.58x = 1,106.88 × 600.07
  4. Step 4: Simplify right side
    738.58x = 664,205.48
  5. Step 5: Solve for x
    x = 664,205.48/738.58
  6. Step 6: Final answer
    x = 899.30

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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.