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Finding the Fourth Proportional to 653.93, 981.24 and 500.84

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Solution

The fourth proportional to 653.93, 981.24 and 500.84 is: 751.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.93 : 981.24 = 500.84 : x
  2. Step 2: Convert to fraction form
    653.93/981.24 = 500.84/x
  3. Step 3: Cross multiply
    653.93x = 981.24 × 500.84
  4. Step 4: Simplify right side
    653.93x = 491,444.24
  5. Step 5: Solve for x
    x = 491,444.24/653.93
  6. Step 6: Final answer
    x = 751.52

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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.