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Finding the Fourth Proportional to 1,265.48, 1,897.84 and 399.52

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Solution

The fourth proportional to 1,265.48, 1,897.84 and 399.52 is: 599.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.48 : 1,897.84 = 399.52 : x
  2. Step 2: Convert to fraction form
    1,265.48/1,897.84 = 399.52/x
  3. Step 3: Cross multiply
    1,265.48x = 1,897.84 × 399.52
  4. Step 4: Simplify right side
    1,265.48x = 758,225.04
  5. Step 5: Solve for x
    x = 758,225.04/1,265.48
  6. Step 6: Final answer
    x = 599.16

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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.