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Finding the Fourth Proportional to 652.59, 906.82 and 645.93

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Solution

The fourth proportional to 652.59, 906.82 and 645.93 is: 897.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.59 : 906.82 = 645.93 : x
  2. Step 2: Convert to fraction form
    652.59/906.82 = 645.93/x
  3. Step 3: Cross multiply
    652.59x = 906.82 × 645.93
  4. Step 4: Simplify right side
    652.59x = 585,740.63
  5. Step 5: Solve for x
    x = 585,740.63/652.59
  6. Step 6: Final answer
    x = 897.56

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.