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Finding the Fourth Proportional to 1,435.74, 1,981.26 and 904.52

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Solution

The fourth proportional to 1,435.74, 1,981.26 and 904.52 is: 1,248.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.74 : 1,981.26 = 904.52 : x
  2. Step 2: Convert to fraction form
    1,435.74/1,981.26 = 904.52/x
  3. Step 3: Cross multiply
    1,435.74x = 1,981.26 × 904.52
  4. Step 4: Simplify right side
    1,435.74x = 1,792,089.30
  5. Step 5: Solve for x
    x = 1,792,089.30/1,435.74
  6. Step 6: Final answer
    x = 1,248.20

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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.