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Finding the Fourth Proportional to 1,053.53, 1,580.37 and 404.26

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Solution

The fourth proportional to 1,053.53, 1,580.37 and 404.26 is: 606.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.53 : 1,580.37 = 404.26 : x
  2. Step 2: Convert to fraction form
    1,053.53/1,580.37 = 404.26/x
  3. Step 3: Cross multiply
    1,053.53x = 1,580.37 × 404.26
  4. Step 4: Simplify right side
    1,053.53x = 638,881.86
  5. Step 5: Solve for x
    x = 638,881.86/1,053.53
  6. Step 6: Final answer
    x = 606.42

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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.