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Finding the Fourth Proportional to 1,129.40, 1,695.30 and 643.40

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Solution

The fourth proportional to 1,129.40, 1,695.30 and 643.40 is: 965.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.40 : 1,695.30 = 643.40 : x
  2. Step 2: Convert to fraction form
    1,129.40/1,695.30 = 643.40/x
  3. Step 3: Cross multiply
    1,129.40x = 1,695.30 × 643.40
  4. Step 4: Simplify right side
    1,129.40x = 1,090,756.02
  5. Step 5: Solve for x
    x = 1,090,756.02/1,129.40
  6. Step 6: Final answer
    x = 965.78

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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.