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Finding the Fourth Proportional to 914.02, 1,261.44 and 521.08

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Solution

The fourth proportional to 914.02, 1,261.44 and 521.08 is: 719.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.02 : 1,261.44 = 521.08 : x
  2. Step 2: Convert to fraction form
    914.02/1,261.44 = 521.08/x
  3. Step 3: Cross multiply
    914.02x = 1,261.44 × 521.08
  4. Step 4: Simplify right side
    914.02x = 657,311.16
  5. Step 5: Solve for x
    x = 657,311.16/914.02
  6. Step 6: Final answer
    x = 719.14

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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.