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Finding the Fourth Proportional to 699.09, 964.82 and 437.13

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Solution

The fourth proportional to 699.09, 964.82 and 437.13 is: 603.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.09 : 964.82 = 437.13 : x
  2. Step 2: Convert to fraction form
    699.09/964.82 = 437.13/x
  3. Step 3: Cross multiply
    699.09x = 964.82 × 437.13
  4. Step 4: Simplify right side
    699.09x = 421,751.77
  5. Step 5: Solve for x
    x = 421,751.77/699.09
  6. Step 6: Final answer
    x = 603.29

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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.