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Finding the Fourth Proportional to 1,398.45, 1,929.88 and 769

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Solution

The fourth proportional to 1,398.45, 1,929.88 and 769 is: 1,061.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.45 : 1,929.88 = 769 : x
  2. Step 2: Convert to fraction form
    1,398.45/1,929.88 = 769/x
  3. Step 3: Cross multiply
    1,398.45x = 1,929.88 × 769
  4. Step 4: Simplify right side
    1,398.45x = 1,484,077.72
  5. Step 5: Solve for x
    x = 1,484,077.72/1,398.45
  6. Step 6: Final answer
    x = 1,061.23

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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.