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Finding the Fourth Proportional to 615.81, 924.53 and 564.87

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Solution

The fourth proportional to 615.81, 924.53 and 564.87 is: 848.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.81 : 924.53 = 564.87 : x
  2. Step 2: Convert to fraction form
    615.81/924.53 = 564.87/x
  3. Step 3: Cross multiply
    615.81x = 924.53 × 564.87
  4. Step 4: Simplify right side
    615.81x = 522,236.44
  5. Step 5: Solve for x
    x = 522,236.44/615.81
  6. Step 6: Final answer
    x = 848.05

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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.