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Finding the Fourth Proportional to 1,297.99, 1,946.97 and 373.57

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Solution

The fourth proportional to 1,297.99, 1,946.97 and 373.57 is: 560.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.99 : 1,946.97 = 373.57 : x
  2. Step 2: Convert to fraction form
    1,297.99/1,946.97 = 373.57/x
  3. Step 3: Cross multiply
    1,297.99x = 1,946.97 × 373.57
  4. Step 4: Simplify right side
    1,297.99x = 727,329.58
  5. Step 5: Solve for x
    x = 727,329.58/1,297.99
  6. Step 6: Final answer
    x = 560.35

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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.