Home / 1,164.32-1,746.48-505.65

Finding the Fourth Proportional to 1,164.32, 1,746.48 and 505.65

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Solution

The fourth proportional to 1,164.32, 1,746.48 and 505.65 is: 758.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.32 : 1,746.48 = 505.65 : x
  2. Step 2: Convert to fraction form
    1,164.32/1,746.48 = 505.65/x
  3. Step 3: Cross multiply
    1,164.32x = 1,746.48 × 505.65
  4. Step 4: Simplify right side
    1,164.32x = 883,107.61
  5. Step 5: Solve for x
    x = 883,107.61/1,164.32
  6. Step 6: Final answer
    x = 758.48

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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.