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Finding the Fourth Proportional to 914.84, 1,370.10 and 503.36

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Solution

The fourth proportional to 914.84, 1,370.10 and 503.36 is: 753.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.84 : 1,370.10 = 503.36 : x
  2. Step 2: Convert to fraction form
    914.84/1,370.10 = 503.36/x
  3. Step 3: Cross multiply
    914.84x = 1,370.10 × 503.36
  4. Step 4: Simplify right side
    914.84x = 689,653.54
  5. Step 5: Solve for x
    x = 689,653.54/914.84
  6. Step 6: Final answer
    x = 753.85

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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.