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Finding the Fourth Proportional to 1,164.68, 1,747.70 and 434.76

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Solution

The fourth proportional to 1,164.68, 1,747.70 and 434.76 is: 652.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.68 : 1,747.70 = 434.76 : x
  2. Step 2: Convert to fraction form
    1,164.68/1,747.70 = 434.76/x
  3. Step 3: Cross multiply
    1,164.68x = 1,747.70 × 434.76
  4. Step 4: Simplify right side
    1,164.68x = 759,830.05
  5. Step 5: Solve for x
    x = 759,830.05/1,164.68
  6. Step 6: Final answer
    x = 652.39

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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.