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Finding the Fourth Proportional to 1,164.86, 1,746.85 and 471.31

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Solution

The fourth proportional to 1,164.86, 1,746.85 and 471.31 is: 706.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.86 : 1,746.85 = 471.31 : x
  2. Step 2: Convert to fraction form
    1,164.86/1,746.85 = 471.31/x
  3. Step 3: Cross multiply
    1,164.86x = 1,746.85 × 471.31
  4. Step 4: Simplify right side
    1,164.86x = 823,307.87
  5. Step 5: Solve for x
    x = 823,307.87/1,164.86
  6. Step 6: Final answer
    x = 706.79

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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.