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Finding the Fourth Proportional to 1,048.41, 1,578.76 and 913.07

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Solution

The fourth proportional to 1,048.41, 1,578.76 and 913.07 is: 1,374.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.41 : 1,578.76 = 913.07 : x
  2. Step 2: Convert to fraction form
    1,048.41/1,578.76 = 913.07/x
  3. Step 3: Cross multiply
    1,048.41x = 1,578.76 × 913.07
  4. Step 4: Simplify right side
    1,048.41x = 1,441,520.06
  5. Step 5: Solve for x
    x = 1,441,520.06/1,048.41
  6. Step 6: Final answer
    x = 1,374.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.