Home / 1,002.45-1,383.50-609.60

Finding the Fourth Proportional to 1,002.45, 1,383.50 and 609.60

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Solution

The fourth proportional to 1,002.45, 1,383.50 and 609.60 is: 841.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.45 : 1,383.50 = 609.60 : x
  2. Step 2: Convert to fraction form
    1,002.45/1,383.50 = 609.60/x
  3. Step 3: Cross multiply
    1,002.45x = 1,383.50 × 609.60
  4. Step 4: Simplify right side
    1,002.45x = 843,381.60
  5. Step 5: Solve for x
    x = 843,381.60/1,002.45
  6. Step 6: Final answer
    x = 841.32

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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.