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Finding the Fourth Proportional to 1,265.63, 1,898.64 and 400.14

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Solution

The fourth proportional to 1,265.63, 1,898.64 and 400.14 is: 600.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.63 : 1,898.64 = 400.14 : x
  2. Step 2: Convert to fraction form
    1,265.63/1,898.64 = 400.14/x
  3. Step 3: Cross multiply
    1,265.63x = 1,898.64 × 400.14
  4. Step 4: Simplify right side
    1,265.63x = 759,721.81
  5. Step 5: Solve for x
    x = 759,721.81/1,265.63
  6. Step 6: Final answer
    x = 600.27

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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.