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Finding the Fourth Proportional to 652.76, 901.97 and 513.94

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Solution

The fourth proportional to 652.76, 901.97 and 513.94 is: 710.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.76 : 901.97 = 513.94 : x
  2. Step 2: Convert to fraction form
    652.76/901.97 = 513.94/x
  3. Step 3: Cross multiply
    652.76x = 901.97 × 513.94
  4. Step 4: Simplify right side
    652.76x = 463,558.46
  5. Step 5: Solve for x
    x = 463,558.46/652.76
  6. Step 6: Final answer
    x = 710.15

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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.