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Finding the Fourth Proportional to 1,398.34, 1,929.96 and 901.60

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Solution

The fourth proportional to 1,398.34, 1,929.96 and 901.60 is: 1,244.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.34 : 1,929.96 = 901.60 : x
  2. Step 2: Convert to fraction form
    1,398.34/1,929.96 = 901.60/x
  3. Step 3: Cross multiply
    1,398.34x = 1,929.96 × 901.60
  4. Step 4: Simplify right side
    1,398.34x = 1,740,051.94
  5. Step 5: Solve for x
    x = 1,740,051.94/1,398.34
  6. Step 6: Final answer
    x = 1,244.37

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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.