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Finding the Fourth Proportional to 878.55, 1,315.58 and 852.60

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Solution

The fourth proportional to 878.55, 1,315.58 and 852.60 is: 1,276.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.55 : 1,315.58 = 852.60 : x
  2. Step 2: Convert to fraction form
    878.55/1,315.58 = 852.60/x
  3. Step 3: Cross multiply
    878.55x = 1,315.58 × 852.60
  4. Step 4: Simplify right side
    878.55x = 1,121,663.51
  5. Step 5: Solve for x
    x = 1,121,663.51/878.55
  6. Step 6: Final answer
    x = 1,276.72

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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.