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Finding the Fourth Proportional to 1,550.63, 2,326.31 and 524.63

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Solution

The fourth proportional to 1,550.63, 2,326.31 and 524.63 is: 787.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,550.63 : 2,326.31 = 524.63 : x
  2. Step 2: Convert to fraction form
    1,550.63/2,326.31 = 524.63/x
  3. Step 3: Cross multiply
    1,550.63x = 2,326.31 × 524.63
  4. Step 4: Simplify right side
    1,550.63x = 1,220,437.76
  5. Step 5: Solve for x
    x = 1,220,437.76/1,550.63
  6. Step 6: Final answer
    x = 787.06

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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.