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Finding the Fourth Proportional to 1,146.98, 1,582.91 and 649.62

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Solution

The fourth proportional to 1,146.98, 1,582.91 and 649.62 is: 896.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.98 : 1,582.91 = 649.62 : x
  2. Step 2: Convert to fraction form
    1,146.98/1,582.91 = 649.62/x
  3. Step 3: Cross multiply
    1,146.98x = 1,582.91 × 649.62
  4. Step 4: Simplify right side
    1,146.98x = 1,028,291.62
  5. Step 5: Solve for x
    x = 1,028,291.62/1,146.98
  6. Step 6: Final answer
    x = 896.52

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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.