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Finding the Fourth Proportional to 1,021.43, 1,530.77 and 465.45

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Solution

The fourth proportional to 1,021.43, 1,530.77 and 465.45 is: 697.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.43 : 1,530.77 = 465.45 : x
  2. Step 2: Convert to fraction form
    1,021.43/1,530.77 = 465.45/x
  3. Step 3: Cross multiply
    1,021.43x = 1,530.77 × 465.45
  4. Step 4: Simplify right side
    1,021.43x = 712,494.57
  5. Step 5: Solve for x
    x = 712,494.57/1,021.43
  6. Step 6: Final answer
    x = 697.55

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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.