Home / 1,165.26-1,746.59-586.92

Finding the Fourth Proportional to 1,165.26, 1,746.59 and 586.92

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Solution

The fourth proportional to 1,165.26, 1,746.59 and 586.92 is: 879.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.26 : 1,746.59 = 586.92 : x
  2. Step 2: Convert to fraction form
    1,165.26/1,746.59 = 586.92/x
  3. Step 3: Cross multiply
    1,165.26x = 1,746.59 × 586.92
  4. Step 4: Simplify right side
    1,165.26x = 1,025,105.67
  5. Step 5: Solve for x
    x = 1,025,105.67/1,165.26
  6. Step 6: Final answer
    x = 879.72

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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.