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Finding the Fourth Proportional to 1,164.70, 1,746.93 and 471.73

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Solution

The fourth proportional to 1,164.70, 1,746.93 and 471.73 is: 707.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.70 : 1,746.93 = 471.73 : x
  2. Step 2: Convert to fraction form
    1,164.70/1,746.93 = 471.73/x
  3. Step 3: Cross multiply
    1,164.70x = 1,746.93 × 471.73
  4. Step 4: Simplify right side
    1,164.70x = 824,079.29
  5. Step 5: Solve for x
    x = 824,079.29/1,164.70
  6. Step 6: Final answer
    x = 707.55

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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.