Home / 1,564.12-2,345.40-523.77

Finding the Fourth Proportional to 1,564.12, 2,345.40 and 523.77

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Solution

The fourth proportional to 1,564.12, 2,345.40 and 523.77 is: 785.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.12 : 2,345.40 = 523.77 : x
  2. Step 2: Convert to fraction form
    1,564.12/2,345.40 = 523.77/x
  3. Step 3: Cross multiply
    1,564.12x = 2,345.40 × 523.77
  4. Step 4: Simplify right side
    1,564.12x = 1,228,450.16
  5. Step 5: Solve for x
    x = 1,228,450.16/1,564.12
  6. Step 6: Final answer
    x = 785.39

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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.