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Finding the Fourth Proportional to 1,170.62, 1,755.93 and 477.14

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Solution

The fourth proportional to 1,170.62, 1,755.93 and 477.14 is: 715.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.62 : 1,755.93 = 477.14 : x
  2. Step 2: Convert to fraction form
    1,170.62/1,755.93 = 477.14/x
  3. Step 3: Cross multiply
    1,170.62x = 1,755.93 × 477.14
  4. Step 4: Simplify right side
    1,170.62x = 837,813.27
  5. Step 5: Solve for x
    x = 837,813.27/1,170.62
  6. Step 6: Final answer
    x = 715.70

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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.