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Finding the Fourth Proportional to 885.64, 1,222.02 and 512.63

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Solution

The fourth proportional to 885.64, 1,222.02 and 512.63 is: 707.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.64 : 1,222.02 = 512.63 : x
  2. Step 2: Convert to fraction form
    885.64/1,222.02 = 512.63/x
  3. Step 3: Cross multiply
    885.64x = 1,222.02 × 512.63
  4. Step 4: Simplify right side
    885.64x = 626,447.17
  5. Step 5: Solve for x
    x = 626,447.17/885.64
  6. Step 6: Final answer
    x = 707.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.