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Finding the Fourth Proportional to 846.32, 1,263.45 and 737

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Solution

The fourth proportional to 846.32, 1,263.45 and 737 is: 1,100.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.32 : 1,263.45 = 737 : x
  2. Step 2: Convert to fraction form
    846.32/1,263.45 = 737/x
  3. Step 3: Cross multiply
    846.32x = 1,263.45 × 737
  4. Step 4: Simplify right side
    846.32x = 931,162.65
  5. Step 5: Solve for x
    x = 931,162.65/846.32
  6. Step 6: Final answer
    x = 1,100.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.