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Finding the Fourth Proportional to 1,553.31, 2,332.40 and 904.50

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Solution

The fourth proportional to 1,553.31, 2,332.40 and 904.50 is: 1,358.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,553.31 : 2,332.40 = 904.50 : x
  2. Step 2: Convert to fraction form
    1,553.31/2,332.40 = 904.50/x
  3. Step 3: Cross multiply
    1,553.31x = 2,332.40 × 904.50
  4. Step 4: Simplify right side
    1,553.31x = 2,109,651.28
  5. Step 5: Solve for x
    x = 2,109,651.28/1,553.31
  6. Step 6: Final answer
    x = 1,358.17

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Why These Related Problems?

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