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Finding the Fourth Proportional to 1,264.83, 1,897.28 and 340.47

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Solution

The fourth proportional to 1,264.83, 1,897.28 and 340.47 is: 510.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.83 : 1,897.28 = 340.47 : x
  2. Step 2: Convert to fraction form
    1,264.83/1,897.28 = 340.47/x
  3. Step 3: Cross multiply
    1,264.83x = 1,897.28 × 340.47
  4. Step 4: Simplify right side
    1,264.83x = 645,965.22
  5. Step 5: Solve for x
    x = 645,965.22/1,264.83
  6. Step 6: Final answer
    x = 510.71

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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.