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Finding the Fourth Proportional to 1,595.98, 2,394.47 and 500.46

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Solution

The fourth proportional to 1,595.98, 2,394.47 and 500.46 is: 750.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,595.98 : 2,394.47 = 500.46 : x
  2. Step 2: Convert to fraction form
    1,595.98/2,394.47 = 500.46/x
  3. Step 3: Cross multiply
    1,595.98x = 2,394.47 × 500.46
  4. Step 4: Simplify right side
    1,595.98x = 1,198,336.46
  5. Step 5: Solve for x
    x = 1,198,336.46/1,595.98
  6. Step 6: Final answer
    x = 750.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.