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Finding the Fourth Proportional to 653.77, 901.99 and 652.81

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Solution

The fourth proportional to 653.77, 901.99 and 652.81 is: 900.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.77 : 901.99 = 652.81 : x
  2. Step 2: Convert to fraction form
    653.77/901.99 = 652.81/x
  3. Step 3: Cross multiply
    653.77x = 901.99 × 652.81
  4. Step 4: Simplify right side
    653.77x = 588,824.67
  5. Step 5: Solve for x
    x = 588,824.67/653.77
  6. Step 6: Final answer
    x = 900.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.