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Finding the Fourth Proportional to 913.74, 1,370.00 and 503.07

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Solution

The fourth proportional to 913.74, 1,370.00 and 503.07 is: 754.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.74 : 1,370.00 = 503.07 : x
  2. Step 2: Convert to fraction form
    913.74/1,370.00 = 503.07/x
  3. Step 3: Cross multiply
    913.74x = 1,370.00 × 503.07
  4. Step 4: Simplify right side
    913.74x = 689,196.53
  5. Step 5: Solve for x
    x = 689,196.53/913.74
  6. Step 6: Final answer
    x = 754.26

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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.