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Finding the Fourth Proportional to 651.76, 900.32 and 581.78

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Solution

The fourth proportional to 651.76, 900.32 and 581.78 is: 803.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.76 : 900.32 = 581.78 : x
  2. Step 2: Convert to fraction form
    651.76/900.32 = 581.78/x
  3. Step 3: Cross multiply
    651.76x = 900.32 × 581.78
  4. Step 4: Simplify right side
    651.76x = 523,788.17
  5. Step 5: Solve for x
    x = 523,788.17/651.76
  6. Step 6: Final answer
    x = 803.65

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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.