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Finding the Fourth Proportional to 889.96, 1,225.02 and 784.66

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Solution

The fourth proportional to 889.96, 1,225.02 and 784.66 is: 1,080.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.96 : 1,225.02 = 784.66 : x
  2. Step 2: Convert to fraction form
    889.96/1,225.02 = 784.66/x
  3. Step 3: Cross multiply
    889.96x = 1,225.02 × 784.66
  4. Step 4: Simplify right side
    889.96x = 961,224.19
  5. Step 5: Solve for x
    x = 961,224.19/889.96
  6. Step 6: Final answer
    x = 1,080.08

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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.