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Finding the Fourth Proportional to 653.47, 981.11 and 433.45

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Solution

The fourth proportional to 653.47, 981.11 and 433.45 is: 650.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.47 : 981.11 = 433.45 : x
  2. Step 2: Convert to fraction form
    653.47/981.11 = 433.45/x
  3. Step 3: Cross multiply
    653.47x = 981.11 × 433.45
  4. Step 4: Simplify right side
    653.47x = 425,262.13
  5. Step 5: Solve for x
    x = 425,262.13/653.47
  6. Step 6: Final answer
    x = 650.78

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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.