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Finding the Fourth Proportional to 1,224.29, 1,689.90 and 700.67

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Solution

The fourth proportional to 1,224.29, 1,689.90 and 700.67 is: 967.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.29 : 1,689.90 = 700.67 : x
  2. Step 2: Convert to fraction form
    1,224.29/1,689.90 = 700.67/x
  3. Step 3: Cross multiply
    1,224.29x = 1,689.90 × 700.67
  4. Step 4: Simplify right side
    1,224.29x = 1,184,062.23
  5. Step 5: Solve for x
    x = 1,184,062.23/1,224.29
  6. Step 6: Final answer
    x = 967.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.