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Finding the Fourth Proportional to 1,523.75, 2,285.64 and 497.75

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Solution

The fourth proportional to 1,523.75, 2,285.64 and 497.75 is: 746.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.75 : 2,285.64 = 497.75 : x
  2. Step 2: Convert to fraction form
    1,523.75/2,285.64 = 497.75/x
  3. Step 3: Cross multiply
    1,523.75x = 2,285.64 × 497.75
  4. Step 4: Simplify right side
    1,523.75x = 1,137,677.31
  5. Step 5: Solve for x
    x = 1,137,677.31/1,523.75
  6. Step 6: Final answer
    x = 746.63

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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.