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Finding the Fourth Proportional to 1,044.51, 1,437.07 and 904.17

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Solution

The fourth proportional to 1,044.51, 1,437.07 and 904.17 is: 1,243.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.51 : 1,437.07 = 904.17 : x
  2. Step 2: Convert to fraction form
    1,044.51/1,437.07 = 904.17/x
  3. Step 3: Cross multiply
    1,044.51x = 1,437.07 × 904.17
  4. Step 4: Simplify right side
    1,044.51x = 1,299,355.58
  5. Step 5: Solve for x
    x = 1,299,355.58/1,044.51
  6. Step 6: Final answer
    x = 1,243.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.