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Finding the Fourth Proportional to 1,165.79, 1,746.87 and 936.16

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Solution

The fourth proportional to 1,165.79, 1,746.87 and 936.16 is: 1,402.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.79 : 1,746.87 = 936.16 : x
  2. Step 2: Convert to fraction form
    1,165.79/1,746.87 = 936.16/x
  3. Step 3: Cross multiply
    1,165.79x = 1,746.87 × 936.16
  4. Step 4: Simplify right side
    1,165.79x = 1,635,341.94
  5. Step 5: Solve for x
    x = 1,635,341.94/1,165.79
  6. Step 6: Final answer
    x = 1,402.77

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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.