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Finding the Fourth Proportional to 876.83, 1,314.83 and 260.30

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Solution

The fourth proportional to 876.83, 1,314.83 and 260.30 is: 390.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.83 : 1,314.83 = 260.30 : x
  2. Step 2: Convert to fraction form
    876.83/1,314.83 = 260.30/x
  3. Step 3: Cross multiply
    876.83x = 1,314.83 × 260.30
  4. Step 4: Simplify right side
    876.83x = 342,254.19
  5. Step 5: Solve for x
    x = 342,254.19/876.83
  6. Step 6: Final answer
    x = 390.33

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Why These Related Problems?

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