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Finding the Fourth Proportional to 1,152.40, 1,729.28 and 494.25

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Solution

The fourth proportional to 1,152.40, 1,729.28 and 494.25 is: 741.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.40 : 1,729.28 = 494.25 : x
  2. Step 2: Convert to fraction form
    1,152.40/1,729.28 = 494.25/x
  3. Step 3: Cross multiply
    1,152.40x = 1,729.28 × 494.25
  4. Step 4: Simplify right side
    1,152.40x = 854,696.64
  5. Step 5: Solve for x
    x = 854,696.64/1,152.40
  6. Step 6: Final answer
    x = 741.67

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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.