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Finding the Fourth Proportional to 1,021.32, 1,531.73 and 472.98

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Solution

The fourth proportional to 1,021.32, 1,531.73 and 472.98 is: 709.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.32 : 1,531.73 = 472.98 : x
  2. Step 2: Convert to fraction form
    1,021.32/1,531.73 = 472.98/x
  3. Step 3: Cross multiply
    1,021.32x = 1,531.73 × 472.98
  4. Step 4: Simplify right side
    1,021.32x = 724,477.66
  5. Step 5: Solve for x
    x = 724,477.66/1,021.32
  6. Step 6: Final answer
    x = 709.35

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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.