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Finding the Fourth Proportional to 1,044.59, 1,564.94 and 906.08

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Solution

The fourth proportional to 1,044.59, 1,564.94 and 906.08 is: 1,357.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.59 : 1,564.94 = 906.08 : x
  2. Step 2: Convert to fraction form
    1,044.59/1,564.94 = 906.08/x
  3. Step 3: Cross multiply
    1,044.59x = 1,564.94 × 906.08
  4. Step 4: Simplify right side
    1,044.59x = 1,417,948.48
  5. Step 5: Solve for x
    x = 1,417,948.48/1,044.59
  6. Step 6: Final answer
    x = 1,357.43

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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.