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Finding the Fourth Proportional to 1,048.32, 1,572.95 and 724.23

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Solution

The fourth proportional to 1,048.32, 1,572.95 and 724.23 is: 1,086.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.32 : 1,572.95 = 724.23 : x
  2. Step 2: Convert to fraction form
    1,048.32/1,572.95 = 724.23/x
  3. Step 3: Cross multiply
    1,048.32x = 1,572.95 × 724.23
  4. Step 4: Simplify right side
    1,048.32x = 1,139,173.96
  5. Step 5: Solve for x
    x = 1,139,173.96/1,048.32
  6. Step 6: Final answer
    x = 1,086.67

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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.