Home / 1,564.04-2,343.80-783.24

Finding the Fourth Proportional to 1,564.04, 2,343.80 and 783.24

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Solution

The fourth proportional to 1,564.04, 2,343.80 and 783.24 is: 1,173.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.04 : 2,343.80 = 783.24 : x
  2. Step 2: Convert to fraction form
    1,564.04/2,343.80 = 783.24/x
  3. Step 3: Cross multiply
    1,564.04x = 2,343.80 × 783.24
  4. Step 4: Simplify right side
    1,564.04x = 1,835,759.87
  5. Step 5: Solve for x
    x = 1,835,759.87/1,564.04
  6. Step 6: Final answer
    x = 1,173.73

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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.