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Finding the Fourth Proportional to 890.17, 1,228.47 and 536.16

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Solution

The fourth proportional to 890.17, 1,228.47 and 536.16 is: 739.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.17 : 1,228.47 = 536.16 : x
  2. Step 2: Convert to fraction form
    890.17/1,228.47 = 536.16/x
  3. Step 3: Cross multiply
    890.17x = 1,228.47 × 536.16
  4. Step 4: Simplify right side
    890.17x = 658,656.48
  5. Step 5: Solve for x
    x = 658,656.48/890.17
  6. Step 6: Final answer
    x = 739.92

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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.