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Finding the Fourth Proportional to 765, 1,053.38 and 654.23

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Solution

The fourth proportional to 765, 1,053.38 and 654.23 is: 900.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    765 : 1,053.38 = 654.23 : x
  2. Step 2: Convert to fraction form
    765/1,053.38 = 654.23/x
  3. Step 3: Cross multiply
    765x = 1,053.38 × 654.23
  4. Step 4: Simplify right side
    765x = 689,157.07
  5. Step 5: Solve for x
    x = 689,157.07/765
  6. Step 6: Final answer
    x = 900.86

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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.