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Finding the Fourth Proportional to 1,108.48, 1,664.64 and 916.48

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Solution

The fourth proportional to 1,108.48, 1,664.64 and 916.48 is: 1,376.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.48 : 1,664.64 = 916.48 : x
  2. Step 2: Convert to fraction form
    1,108.48/1,664.64 = 916.48/x
  3. Step 3: Cross multiply
    1,108.48x = 1,664.64 × 916.48
  4. Step 4: Simplify right side
    1,108.48x = 1,525,609.27
  5. Step 5: Solve for x
    x = 1,525,609.27/1,108.48
  6. Step 6: Final answer
    x = 1,376.31

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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.