Home / 1,564.20-2,347.08-698.28

Finding the Fourth Proportional to 1,564.20, 2,347.08 and 698.28

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Solution

The fourth proportional to 1,564.20, 2,347.08 and 698.28 is: 1,047.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.20 : 2,347.08 = 698.28 : x
  2. Step 2: Convert to fraction form
    1,564.20/2,347.08 = 698.28/x
  3. Step 3: Cross multiply
    1,564.20x = 2,347.08 × 698.28
  4. Step 4: Simplify right side
    1,564.20x = 1,638,919.02
  5. Step 5: Solve for x
    x = 1,638,919.02/1,564.20
  6. Step 6: Final answer
    x = 1,047.77

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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.