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Finding the Fourth Proportional to 914.64, 1,262.16 and 521.64

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Solution

The fourth proportional to 914.64, 1,262.16 and 521.64 is: 719.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.64 : 1,262.16 = 521.64 : x
  2. Step 2: Convert to fraction form
    914.64/1,262.16 = 521.64/x
  3. Step 3: Cross multiply
    914.64x = 1,262.16 × 521.64
  4. Step 4: Simplify right side
    914.64x = 658,393.14
  5. Step 5: Solve for x
    x = 658,393.14/914.64
  6. Step 6: Final answer
    x = 719.84

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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.