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Finding the Fourth Proportional to 651.14, 896.56 and 508.98

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Solution

The fourth proportional to 651.14, 896.56 and 508.98 is: 700.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.14 : 896.56 = 508.98 : x
  2. Step 2: Convert to fraction form
    651.14/896.56 = 508.98/x
  3. Step 3: Cross multiply
    651.14x = 896.56 × 508.98
  4. Step 4: Simplify right side
    651.14x = 456,331.11
  5. Step 5: Solve for x
    x = 456,331.11/651.14
  6. Step 6: Final answer
    x = 700.82

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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.