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Finding the Fourth Proportional to 1,262.41, 1,893.75 and 715.66

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Solution

The fourth proportional to 1,262.41, 1,893.75 and 715.66 is: 1,073.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.41 : 1,893.75 = 715.66 : x
  2. Step 2: Convert to fraction form
    1,262.41/1,893.75 = 715.66/x
  3. Step 3: Cross multiply
    1,262.41x = 1,893.75 × 715.66
  4. Step 4: Simplify right side
    1,262.41x = 1,355,281.13
  5. Step 5: Solve for x
    x = 1,355,281.13/1,262.41
  6. Step 6: Final answer
    x = 1,073.57

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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.