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Finding the Fourth Proportional to 652.11, 898.99 and 511.68

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Solution

The fourth proportional to 652.11, 898.99 and 511.68 is: 705.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.11 : 898.99 = 511.68 : x
  2. Step 2: Convert to fraction form
    652.11/898.99 = 511.68/x
  3. Step 3: Cross multiply
    652.11x = 898.99 × 511.68
  4. Step 4: Simplify right side
    652.11x = 459,995.20
  5. Step 5: Solve for x
    x = 459,995.20/652.11
  6. Step 6: Final answer
    x = 705.40

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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.