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Finding the Fourth Proportional to 1,429.07, 2,143.80 and 649.06

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Solution

The fourth proportional to 1,429.07, 2,143.80 and 649.06 is: 973.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.07 : 2,143.80 = 649.06 : x
  2. Step 2: Convert to fraction form
    1,429.07/2,143.80 = 649.06/x
  3. Step 3: Cross multiply
    1,429.07x = 2,143.80 × 649.06
  4. Step 4: Simplify right side
    1,429.07x = 1,391,449.47
  5. Step 5: Solve for x
    x = 1,391,449.47/1,429.07
  6. Step 6: Final answer
    x = 973.68

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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.