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Finding the Fourth Proportional to 1,376.02, 2,064.60 and 595.88

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Solution

The fourth proportional to 1,376.02, 2,064.60 and 595.88 is: 894.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376.02 : 2,064.60 = 595.88 : x
  2. Step 2: Convert to fraction form
    1,376.02/2,064.60 = 595.88/x
  3. Step 3: Cross multiply
    1,376.02x = 2,064.60 × 595.88
  4. Step 4: Simplify right side
    1,376.02x = 1,230,251.27
  5. Step 5: Solve for x
    x = 1,230,251.27/1,376.02
  6. Step 6: Final answer
    x = 894.06

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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.