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Finding the Fourth Proportional to 914, 1,261.34 and 500

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Solution

The fourth proportional to 914, 1,261.34 and 500 is: 690.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    914 : 1,261.34 = 500 : x
  2. Step 2: Convert to fraction form
    914/1,261.34 = 500/x
  3. Step 3: Cross multiply
    914x = 1,261.34 × 500
  4. Step 4: Simplify right side
    914x = 630,670
  5. Step 5: Solve for x
    x = 630,670/914
  6. Step 6: Final answer
    x = 690.01

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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.