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Finding the Fourth Proportional to 652.64, 979.77 and 597.56

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Solution

The fourth proportional to 652.64, 979.77 and 597.56 is: 897.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.64 : 979.77 = 597.56 : x
  2. Step 2: Convert to fraction form
    652.64/979.77 = 597.56/x
  3. Step 3: Cross multiply
    652.64x = 979.77 × 597.56
  4. Step 4: Simplify right side
    652.64x = 585,471.36
  5. Step 5: Solve for x
    x = 585,471.36/652.64
  6. Step 6: Final answer
    x = 897.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.