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Finding the Fourth Proportional to 1,017.86, 1,526.31 and 440.50

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Solution

The fourth proportional to 1,017.86, 1,526.31 and 440.50 is: 660.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.86 : 1,526.31 = 440.50 : x
  2. Step 2: Convert to fraction form
    1,017.86/1,526.31 = 440.50/x
  3. Step 3: Cross multiply
    1,017.86x = 1,526.31 × 440.50
  4. Step 4: Simplify right side
    1,017.86x = 672,339.56
  5. Step 5: Solve for x
    x = 672,339.56/1,017.86
  6. Step 6: Final answer
    x = 660.54

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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.