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Finding the Fourth Proportional to 914.28, 1,261.64 and 500.28

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Solution

The fourth proportional to 914.28, 1,261.64 and 500.28 is: 690.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.28 : 1,261.64 = 500.28 : x
  2. Step 2: Convert to fraction form
    914.28/1,261.64 = 500.28/x
  3. Step 3: Cross multiply
    914.28x = 1,261.64 × 500.28
  4. Step 4: Simplify right side
    914.28x = 631,173.26
  5. Step 5: Solve for x
    x = 631,173.26/914.28
  6. Step 6: Final answer
    x = 690.35

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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.