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Finding the Fourth Proportional to 1,553.56, 2,332.16 and 904.75

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Solution

The fourth proportional to 1,553.56, 2,332.16 and 904.75 is: 1,358.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,553.56 : 2,332.16 = 904.75 : x
  2. Step 2: Convert to fraction form
    1,553.56/2,332.16 = 904.75/x
  3. Step 3: Cross multiply
    1,553.56x = 2,332.16 × 904.75
  4. Step 4: Simplify right side
    1,553.56x = 2,110,021.76
  5. Step 5: Solve for x
    x = 2,110,021.76/1,553.56
  6. Step 6: Final answer
    x = 1,358.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.