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Finding the Fourth Proportional to 904.12, 1,356.18 and 723.76

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Solution

The fourth proportional to 904.12, 1,356.18 and 723.76 is: 1,085.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.12 : 1,356.18 = 723.76 : x
  2. Step 2: Convert to fraction form
    904.12/1,356.18 = 723.76/x
  3. Step 3: Cross multiply
    904.12x = 1,356.18 × 723.76
  4. Step 4: Simplify right side
    904.12x = 981,548.84
  5. Step 5: Solve for x
    x = 981,548.84/904.12
  6. Step 6: Final answer
    x = 1,085.64

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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.