Home / 1,406.19-2,108.14-585.08

Finding the Fourth Proportional to 1,406.19, 2,108.14 and 585.08

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Solution

The fourth proportional to 1,406.19, 2,108.14 and 585.08 is: 877.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.19 : 2,108.14 = 585.08 : x
  2. Step 2: Convert to fraction form
    1,406.19/2,108.14 = 585.08/x
  3. Step 3: Cross multiply
    1,406.19x = 2,108.14 × 585.08
  4. Step 4: Simplify right side
    1,406.19x = 1,233,426.78
  5. Step 5: Solve for x
    x = 1,233,426.78/1,406.19
  6. Step 6: Final answer
    x = 877.14

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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.