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Finding the Fourth Proportional to 1,018.22, 1,526.13 and 432.86

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Solution

The fourth proportional to 1,018.22, 1,526.13 and 432.86 is: 648.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.22 : 1,526.13 = 432.86 : x
  2. Step 2: Convert to fraction form
    1,018.22/1,526.13 = 432.86/x
  3. Step 3: Cross multiply
    1,018.22x = 1,526.13 × 432.86
  4. Step 4: Simplify right side
    1,018.22x = 660,593.00
  5. Step 5: Solve for x
    x = 660,593.00/1,018.22
  6. Step 6: Final answer
    x = 648.77

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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.