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Finding the Fourth Proportional to 653.64, 901.31 and 638.52

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Solution

The fourth proportional to 653.64, 901.31 and 638.52 is: 880.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.64 : 901.31 = 638.52 : x
  2. Step 2: Convert to fraction form
    653.64/901.31 = 638.52/x
  3. Step 3: Cross multiply
    653.64x = 901.31 × 638.52
  4. Step 4: Simplify right side
    653.64x = 575,501.27
  5. Step 5: Solve for x
    x = 575,501.27/653.64
  6. Step 6: Final answer
    x = 880.46

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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.