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Finding the Fourth Proportional to 914.13, 1,261.50 and 500.13

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Solution

The fourth proportional to 914.13, 1,261.50 and 500.13 is: 690.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.13 : 1,261.50 = 500.13 : x
  2. Step 2: Convert to fraction form
    914.13/1,261.50 = 500.13/x
  3. Step 3: Cross multiply
    914.13x = 1,261.50 × 500.13
  4. Step 4: Simplify right side
    914.13x = 630,905.19
  5. Step 5: Solve for x
    x = 630,905.19/914.13
  6. Step 6: Final answer
    x = 690.17

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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.