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Finding the Fourth Proportional to 697.59, 1,045.10 and 478.22

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Solution

The fourth proportional to 697.59, 1,045.10 and 478.22 is: 716.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.59 : 1,045.10 = 478.22 : x
  2. Step 2: Convert to fraction form
    697.59/1,045.10 = 478.22/x
  3. Step 3: Cross multiply
    697.59x = 1,045.10 × 478.22
  4. Step 4: Simplify right side
    697.59x = 499,783.69
  5. Step 5: Solve for x
    x = 499,783.69/697.59
  6. Step 6: Final answer
    x = 716.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.