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Finding the Fourth Proportional to 910.42, 1,366.13 and 705.39

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Solution

The fourth proportional to 910.42, 1,366.13 and 705.39 is: 1,058.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.42 : 1,366.13 = 705.39 : x
  2. Step 2: Convert to fraction form
    910.42/1,366.13 = 705.39/x
  3. Step 3: Cross multiply
    910.42x = 1,366.13 × 705.39
  4. Step 4: Simplify right side
    910.42x = 963,654.44
  5. Step 5: Solve for x
    x = 963,654.44/910.42
  6. Step 6: Final answer
    x = 1,058.47

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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.