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Finding the Fourth Proportional to 1,376.08, 2,062.60 and 595.95

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Solution

The fourth proportional to 1,376.08, 2,062.60 and 595.95 is: 893.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376.08 : 2,062.60 = 595.95 : x
  2. Step 2: Convert to fraction form
    1,376.08/2,062.60 = 595.95/x
  3. Step 3: Cross multiply
    1,376.08x = 2,062.60 × 595.95
  4. Step 4: Simplify right side
    1,376.08x = 1,229,197.25
  5. Step 5: Solve for x
    x = 1,229,197.25/1,376.08
  6. Step 6: Final answer
    x = 893.26

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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.