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Finding the Fourth Proportional to 688.02, 948.42 and 582.72

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Solution

The fourth proportional to 688.02, 948.42 and 582.72 is: 803.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.02 : 948.42 = 582.72 : x
  2. Step 2: Convert to fraction form
    688.02/948.42 = 582.72/x
  3. Step 3: Cross multiply
    688.02x = 948.42 × 582.72
  4. Step 4: Simplify right side
    688.02x = 552,663.30
  5. Step 5: Solve for x
    x = 552,663.30/688.02
  6. Step 6: Final answer
    x = 803.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.