Home / 1,023.24-1,412.40-650.08

Finding the Fourth Proportional to 1,023.24, 1,412.40 and 650.08

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Solution

The fourth proportional to 1,023.24, 1,412.40 and 650.08 is: 897.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.24 : 1,412.40 = 650.08 : x
  2. Step 2: Convert to fraction form
    1,023.24/1,412.40 = 650.08/x
  3. Step 3: Cross multiply
    1,023.24x = 1,412.40 × 650.08
  4. Step 4: Simplify right side
    1,023.24x = 918,172.99
  5. Step 5: Solve for x
    x = 918,172.99/1,023.24
  6. Step 6: Final answer
    x = 897.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.