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Finding the Fourth Proportional to 914.13, 1,370.66 and 503.17

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Solution

The fourth proportional to 914.13, 1,370.66 and 503.17 is: 754.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.13 : 1,370.66 = 503.17 : x
  2. Step 2: Convert to fraction form
    914.13/1,370.66 = 503.17/x
  3. Step 3: Cross multiply
    914.13x = 1,370.66 × 503.17
  4. Step 4: Simplify right side
    914.13x = 689,674.99
  5. Step 5: Solve for x
    x = 689,674.99/914.13
  6. Step 6: Final answer
    x = 754.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.