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Finding the Fourth Proportional to 1,254.69, 1,882.64 and 597.17

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Solution

The fourth proportional to 1,254.69, 1,882.64 and 597.17 is: 896.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.69 : 1,882.64 = 597.17 : x
  2. Step 2: Convert to fraction form
    1,254.69/1,882.64 = 597.17/x
  3. Step 3: Cross multiply
    1,254.69x = 1,882.64 × 597.17
  4. Step 4: Simplify right side
    1,254.69x = 1,124,262.33
  5. Step 5: Solve for x
    x = 1,124,262.33/1,254.69
  6. Step 6: Final answer
    x = 896.05

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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.