Home / 1,164.70-1,746.33-547.57

Finding the Fourth Proportional to 1,164.70, 1,746.33 and 547.57

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Solution

The fourth proportional to 1,164.70, 1,746.33 and 547.57 is: 821.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.70 : 1,746.33 = 547.57 : x
  2. Step 2: Convert to fraction form
    1,164.70/1,746.33 = 547.57/x
  3. Step 3: Cross multiply
    1,164.70x = 1,746.33 × 547.57
  4. Step 4: Simplify right side
    1,164.70x = 956,237.92
  5. Step 5: Solve for x
    x = 956,237.92/1,164.70
  6. Step 6: Final answer
    x = 821.02

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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.