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Finding the Fourth Proportional to 1,015.48, 1,401.56 and 595.86

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Solution

The fourth proportional to 1,015.48, 1,401.56 and 595.86 is: 822.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.48 : 1,401.56 = 595.86 : x
  2. Step 2: Convert to fraction form
    1,015.48/1,401.56 = 595.86/x
  3. Step 3: Cross multiply
    1,015.48x = 1,401.56 × 595.86
  4. Step 4: Simplify right side
    1,015.48x = 835,133.54
  5. Step 5: Solve for x
    x = 835,133.54/1,015.48
  6. Step 6: Final answer
    x = 822.40

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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.