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Finding the Fourth Proportional to 653.64, 901.74 and 522.84

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Solution

The fourth proportional to 653.64, 901.74 and 522.84 is: 721.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.64 : 901.74 = 522.84 : x
  2. Step 2: Convert to fraction form
    653.64/901.74 = 522.84/x
  3. Step 3: Cross multiply
    653.64x = 901.74 × 522.84
  4. Step 4: Simplify right side
    653.64x = 471,465.74
  5. Step 5: Solve for x
    x = 471,465.74/653.64
  6. Step 6: Final answer
    x = 721.29

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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.