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Finding the Fourth Proportional to 1,117.45, 1,541.15 and 937.28

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Solution

The fourth proportional to 1,117.45, 1,541.15 and 937.28 is: 1,292.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.45 : 1,541.15 = 937.28 : x
  2. Step 2: Convert to fraction form
    1,117.45/1,541.15 = 937.28/x
  3. Step 3: Cross multiply
    1,117.45x = 1,541.15 × 937.28
  4. Step 4: Simplify right side
    1,117.45x = 1,444,491.75
  5. Step 5: Solve for x
    x = 1,444,491.75/1,117.45
  6. Step 6: Final answer
    x = 1,292.67

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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.