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Finding the Fourth Proportional to 688.02, 947.09 and 594.20

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Solution

The fourth proportional to 688.02, 947.09 and 594.20 is: 817.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.02 : 947.09 = 594.20 : x
  2. Step 2: Convert to fraction form
    688.02/947.09 = 594.20/x
  3. Step 3: Cross multiply
    688.02x = 947.09 × 594.20
  4. Step 4: Simplify right side
    688.02x = 562,756.14
  5. Step 5: Solve for x
    x = 562,756.14/688.02
  6. Step 6: Final answer
    x = 817.94

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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.