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Finding the Fourth Proportional to 1,112.94, 1,537.07 and 741.50

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Solution

The fourth proportional to 1,112.94, 1,537.07 and 741.50 is: 1,024.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.94 : 1,537.07 = 741.50 : x
  2. Step 2: Convert to fraction form
    1,112.94/1,537.07 = 741.50/x
  3. Step 3: Cross multiply
    1,112.94x = 1,537.07 × 741.50
  4. Step 4: Simplify right side
    1,112.94x = 1,139,726.01
  5. Step 5: Solve for x
    x = 1,139,726.01/1,112.94
  6. Step 6: Final answer
    x = 1,024.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.