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Finding the Fourth Proportional to 654.16, 901.56 and 594.76

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Solution

The fourth proportional to 654.16, 901.56 and 594.76 is: 819.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.16 : 901.56 = 594.76 : x
  2. Step 2: Convert to fraction form
    654.16/901.56 = 594.76/x
  3. Step 3: Cross multiply
    654.16x = 901.56 × 594.76
  4. Step 4: Simplify right side
    654.16x = 536,211.83
  5. Step 5: Solve for x
    x = 536,211.83/654.16
  6. Step 6: Final answer
    x = 819.70

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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.