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Finding the Fourth Proportional to 653.44, 902.72 and 597.12

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Solution

The fourth proportional to 653.44, 902.72 and 597.12 is: 824.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.44 : 902.72 = 597.12 : x
  2. Step 2: Convert to fraction form
    653.44/902.72 = 597.12/x
  3. Step 3: Cross multiply
    653.44x = 902.72 × 597.12
  4. Step 4: Simplify right side
    653.44x = 539,032.17
  5. Step 5: Solve for x
    x = 539,032.17/653.44
  6. Step 6: Final answer
    x = 824.91

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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.