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Finding the Fourth Proportional to 733.02, 1,093.65 and 655.11

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Solution

The fourth proportional to 733.02, 1,093.65 and 655.11 is: 977.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.02 : 1,093.65 = 655.11 : x
  2. Step 2: Convert to fraction form
    733.02/1,093.65 = 655.11/x
  3. Step 3: Cross multiply
    733.02x = 1,093.65 × 655.11
  4. Step 4: Simplify right side
    733.02x = 716,465.36
  5. Step 5: Solve for x
    x = 716,465.36/733.02
  6. Step 6: Final answer
    x = 977.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.