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Finding the Fourth Proportional to 1,359.64, 2,041.18 and 874.84

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Solution

The fourth proportional to 1,359.64, 2,041.18 and 874.84 is: 1,313.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359.64 : 2,041.18 = 874.84 : x
  2. Step 2: Convert to fraction form
    1,359.64/2,041.18 = 874.84/x
  3. Step 3: Cross multiply
    1,359.64x = 2,041.18 × 874.84
  4. Step 4: Simplify right side
    1,359.64x = 1,785,705.91
  5. Step 5: Solve for x
    x = 1,785,705.91/1,359.64
  6. Step 6: Final answer
    x = 1,313.37

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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.