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Finding the Fourth Proportional to 914.22, 1,365.02 and 784.01

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Solution

The fourth proportional to 914.22, 1,365.02 and 784.01 is: 1,170.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.22 : 1,365.02 = 784.01 : x
  2. Step 2: Convert to fraction form
    914.22/1,365.02 = 784.01/x
  3. Step 3: Cross multiply
    914.22x = 1,365.02 × 784.01
  4. Step 4: Simplify right side
    914.22x = 1,070,191.76
  5. Step 5: Solve for x
    x = 1,070,191.76/914.22
  6. Step 6: Final answer
    x = 1,170.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.