Home / 1,407.16-2,109.30-712.54

Finding the Fourth Proportional to 1,407.16, 2,109.30 and 712.54

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Solution

The fourth proportional to 1,407.16, 2,109.30 and 712.54 is: 1,068.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.16 : 2,109.30 = 712.54 : x
  2. Step 2: Convert to fraction form
    1,407.16/2,109.30 = 712.54/x
  3. Step 3: Cross multiply
    1,407.16x = 2,109.30 × 712.54
  4. Step 4: Simplify right side
    1,407.16x = 1,502,960.62
  5. Step 5: Solve for x
    x = 1,502,960.62/1,407.16
  6. Step 6: Final answer
    x = 1,068.08

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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.