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Finding the Fourth Proportional to 1,433.56, 1,977.84 and 909.52

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Solution

The fourth proportional to 1,433.56, 1,977.84 and 909.52 is: 1,254.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.56 : 1,977.84 = 909.52 : x
  2. Step 2: Convert to fraction form
    1,433.56/1,977.84 = 909.52/x
  3. Step 3: Cross multiply
    1,433.56x = 1,977.84 × 909.52
  4. Step 4: Simplify right side
    1,433.56x = 1,798,885.04
  5. Step 5: Solve for x
    x = 1,798,885.04/1,433.56
  6. Step 6: Final answer
    x = 1,254.84

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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.