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Finding the Fourth Proportional to 1,057.52, 1,457.88 and 900.56

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Solution

The fourth proportional to 1,057.52, 1,457.88 and 900.56 is: 1,241.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.52 : 1,457.88 = 900.56 : x
  2. Step 2: Convert to fraction form
    1,057.52/1,457.88 = 900.56/x
  3. Step 3: Cross multiply
    1,057.52x = 1,457.88 × 900.56
  4. Step 4: Simplify right side
    1,057.52x = 1,312,908.41
  5. Step 5: Solve for x
    x = 1,312,908.41/1,057.52
  6. Step 6: Final answer
    x = 1,241.50

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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.