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Finding the Fourth Proportional to 1.77, 2.65 and 0.43

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Solution

The fourth proportional to 1.77, 2.65 and 0.43 is: 0.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.77 : 2.65 = 0.43 : x
  2. Step 2: Convert to fraction form
    1.77/2.65 = 0.43/x
  3. Step 3: Cross multiply
    1.77x = 2.65 × 0.43
  4. Step 4: Simplify right side
    1.77x = 1.15
  5. Step 5: Solve for x
    x = 1.15/1.77
  6. Step 6: Final answer
    x = 0.65

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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.