Home / 1,407.06-2,109.78-584.91

Finding the Fourth Proportional to 1,407.06, 2,109.78 and 584.91

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Solution

The fourth proportional to 1,407.06, 2,109.78 and 584.91 is: 877.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.06 : 2,109.78 = 584.91 : x
  2. Step 2: Convert to fraction form
    1,407.06/2,109.78 = 584.91/x
  3. Step 3: Cross multiply
    1,407.06x = 2,109.78 × 584.91
  4. Step 4: Simplify right side
    1,407.06x = 1,234,031.42
  5. Step 5: Solve for x
    x = 1,234,031.42/1,407.06
  6. Step 6: Final answer
    x = 877.03

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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.