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Finding the Fourth Proportional to 1,038.54, 1,433.16 and 596.37

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Solution

The fourth proportional to 1,038.54, 1,433.16 and 596.37 is: 822.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.54 : 1,433.16 = 596.37 : x
  2. Step 2: Convert to fraction form
    1,038.54/1,433.16 = 596.37/x
  3. Step 3: Cross multiply
    1,038.54x = 1,433.16 × 596.37
  4. Step 4: Simplify right side
    1,038.54x = 854,693.63
  5. Step 5: Solve for x
    x = 854,693.63/1,038.54
  6. Step 6: Final answer
    x = 822.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.