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Finding the Fourth Proportional to 876.55, 1,314.43 and 260.04

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Solution

The fourth proportional to 876.55, 1,314.43 and 260.04 is: 389.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.55 : 1,314.43 = 260.04 : x
  2. Step 2: Convert to fraction form
    876.55/1,314.43 = 260.04/x
  3. Step 3: Cross multiply
    876.55x = 1,314.43 × 260.04
  4. Step 4: Simplify right side
    876.55x = 341,804.38
  5. Step 5: Solve for x
    x = 341,804.38/876.55
  6. Step 6: Final answer
    x = 389.94

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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.