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Finding the Fourth Proportional to 1,397.53, 1,927.57 and 900.67

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Solution

The fourth proportional to 1,397.53, 1,927.57 and 900.67 is: 1,242.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.53 : 1,927.57 = 900.67 : x
  2. Step 2: Convert to fraction form
    1,397.53/1,927.57 = 900.67/x
  3. Step 3: Cross multiply
    1,397.53x = 1,927.57 × 900.67
  4. Step 4: Simplify right side
    1,397.53x = 1,736,104.47
  5. Step 5: Solve for x
    x = 1,736,104.47/1,397.53
  6. Step 6: Final answer
    x = 1,242.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.