Home / 1,035.60-1,553.58-419.28

Finding the Fourth Proportional to 1,035.60, 1,553.58 and 419.28

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Solution

The fourth proportional to 1,035.60, 1,553.58 and 419.28 is: 628.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.60 : 1,553.58 = 419.28 : x
  2. Step 2: Convert to fraction form
    1,035.60/1,553.58 = 419.28/x
  3. Step 3: Cross multiply
    1,035.60x = 1,553.58 × 419.28
  4. Step 4: Simplify right side
    1,035.60x = 651,385.02
  5. Step 5: Solve for x
    x = 651,385.02/1,035.60
  6. Step 6: Final answer
    x = 628.99

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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.