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Finding the Fourth Proportional to 1,015.50, 1,401.36 and 595.84

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Solution

The fourth proportional to 1,015.50, 1,401.36 and 595.84 is: 822.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.50 : 1,401.36 = 595.84 : x
  2. Step 2: Convert to fraction form
    1,015.50/1,401.36 = 595.84/x
  3. Step 3: Cross multiply
    1,015.50x = 1,401.36 × 595.84
  4. Step 4: Simplify right side
    1,015.50x = 834,983.36
  5. Step 5: Solve for x
    x = 834,983.36/1,015.50
  6. Step 6: Final answer
    x = 822.24

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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.