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Finding the Fourth Proportional to 1,063.48, 1,593.42 and 651.76

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Solution

The fourth proportional to 1,063.48, 1,593.42 and 651.76 is: 976.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.48 : 1,593.42 = 651.76 : x
  2. Step 2: Convert to fraction form
    1,063.48/1,593.42 = 651.76/x
  3. Step 3: Cross multiply
    1,063.48x = 1,593.42 × 651.76
  4. Step 4: Simplify right side
    1,063.48x = 1,038,527.42
  5. Step 5: Solve for x
    x = 1,038,527.42/1,063.48
  6. Step 6: Final answer
    x = 976.54

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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.