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Finding the Fourth Proportional to 653.88, 902.15 and 591.51

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Solution

The fourth proportional to 653.88, 902.15 and 591.51 is: 816.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.88 : 902.15 = 591.51 : x
  2. Step 2: Convert to fraction form
    653.88/902.15 = 591.51/x
  3. Step 3: Cross multiply
    653.88x = 902.15 × 591.51
  4. Step 4: Simplify right side
    653.88x = 533,627.79
  5. Step 5: Solve for x
    x = 533,627.79/653.88
  6. Step 6: Final answer
    x = 816.09

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