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Finding the Fourth Proportional to 1,265.63, 1,898.44 and 649.22

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Solution

The fourth proportional to 1,265.63, 1,898.44 and 649.22 is: 973.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.63 : 1,898.44 = 649.22 : x
  2. Step 2: Convert to fraction form
    1,265.63/1,898.44 = 649.22/x
  3. Step 3: Cross multiply
    1,265.63x = 1,898.44 × 649.22
  4. Step 4: Simplify right side
    1,265.63x = 1,232,494.10
  5. Step 5: Solve for x
    x = 1,232,494.10/1,265.63
  6. Step 6: Final answer
    x = 973.82

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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.