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Finding the Fourth Proportional to 738.51, 1,106.91 and 601.80

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Solution

The fourth proportional to 738.51, 1,106.91 and 601.80 is: 902.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.51 : 1,106.91 = 601.80 : x
  2. Step 2: Convert to fraction form
    738.51/1,106.91 = 601.80/x
  3. Step 3: Cross multiply
    738.51x = 1,106.91 × 601.80
  4. Step 4: Simplify right side
    738.51x = 666,138.44
  5. Step 5: Solve for x
    x = 666,138.44/738.51
  6. Step 6: Final answer
    x = 902.00

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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.