Home / 1,407.24-2,110.86-585.27

Finding the Fourth Proportional to 1,407.24, 2,110.86 and 585.27

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Solution

The fourth proportional to 1,407.24, 2,110.86 and 585.27 is: 877.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.24 : 2,110.86 = 585.27 : x
  2. Step 2: Convert to fraction form
    1,407.24/2,110.86 = 585.27/x
  3. Step 3: Cross multiply
    1,407.24x = 2,110.86 × 585.27
  4. Step 4: Simplify right side
    1,407.24x = 1,235,423.03
  5. Step 5: Solve for x
    x = 1,235,423.03/1,407.24
  6. Step 6: Final answer
    x = 877.91

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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.