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Finding the Fourth Proportional to 1,116.48, 1,674.08 and 431.68

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Solution

The fourth proportional to 1,116.48, 1,674.08 and 431.68 is: 647.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.48 : 1,674.08 = 431.68 : x
  2. Step 2: Convert to fraction form
    1,116.48/1,674.08 = 431.68/x
  3. Step 3: Cross multiply
    1,116.48x = 1,674.08 × 431.68
  4. Step 4: Simplify right side
    1,116.48x = 722,666.85
  5. Step 5: Solve for x
    x = 722,666.85/1,116.48
  6. Step 6: Final answer
    x = 647.27

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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.