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Finding the Fourth Proportional to 949.10, 1,421.56 and 782.69

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Solution

The fourth proportional to 949.10, 1,421.56 and 782.69 is: 1,172.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.10 : 1,421.56 = 782.69 : x
  2. Step 2: Convert to fraction form
    949.10/1,421.56 = 782.69/x
  3. Step 3: Cross multiply
    949.10x = 1,421.56 × 782.69
  4. Step 4: Simplify right side
    949.10x = 1,112,647.75
  5. Step 5: Solve for x
    x = 1,112,647.75/949.10
  6. Step 6: Final answer
    x = 1,172.32

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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.