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Finding the Fourth Proportional to 898.35, 1,341.52 and 776.91

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Solution

The fourth proportional to 898.35, 1,341.52 and 776.91 is: 1,160.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.35 : 1,341.52 = 776.91 : x
  2. Step 2: Convert to fraction form
    898.35/1,341.52 = 776.91/x
  3. Step 3: Cross multiply
    898.35x = 1,341.52 × 776.91
  4. Step 4: Simplify right side
    898.35x = 1,042,238.36
  5. Step 5: Solve for x
    x = 1,042,238.36/898.35
  6. Step 6: Final answer
    x = 1,160.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.