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Finding the Fourth Proportional to 652.78, 974.44 and 591.40

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Solution

The fourth proportional to 652.78, 974.44 and 591.40 is: 882.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.78 : 974.44 = 591.40 : x
  2. Step 2: Convert to fraction form
    652.78/974.44 = 591.40/x
  3. Step 3: Cross multiply
    652.78x = 974.44 × 591.40
  4. Step 4: Simplify right side
    652.78x = 576,283.82
  5. Step 5: Solve for x
    x = 576,283.82/652.78
  6. Step 6: Final answer
    x = 882.81

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.