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Finding the Fourth Proportional to 1,495.64, 2,243.73 and 765.02

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Solution

The fourth proportional to 1,495.64, 2,243.73 and 765.02 is: 1,147.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,495.64 : 2,243.73 = 765.02 : x
  2. Step 2: Convert to fraction form
    1,495.64/2,243.73 = 765.02/x
  3. Step 3: Cross multiply
    1,495.64x = 2,243.73 × 765.02
  4. Step 4: Simplify right side
    1,495.64x = 1,716,498.32
  5. Step 5: Solve for x
    x = 1,716,498.32/1,495.64
  6. Step 6: Final answer
    x = 1,147.67

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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.