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Finding the Fourth Proportional to 1,397.03, 1,929.19 and 900.53

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Solution

The fourth proportional to 1,397.03, 1,929.19 and 900.53 is: 1,243.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.03 : 1,929.19 = 900.53 : x
  2. Step 2: Convert to fraction form
    1,397.03/1,929.19 = 900.53/x
  3. Step 3: Cross multiply
    1,397.03x = 1,929.19 × 900.53
  4. Step 4: Simplify right side
    1,397.03x = 1,737,283.82
  5. Step 5: Solve for x
    x = 1,737,283.82/1,397.03
  6. Step 6: Final answer
    x = 1,243.56

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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.