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Finding the Fourth Proportional to 707.38, 1,061.37 and 705.35

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Solution

The fourth proportional to 707.38, 1,061.37 and 705.35 is: 1,058.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.38 : 1,061.37 = 705.35 : x
  2. Step 2: Convert to fraction form
    707.38/1,061.37 = 705.35/x
  3. Step 3: Cross multiply
    707.38x = 1,061.37 × 705.35
  4. Step 4: Simplify right side
    707.38x = 748,639.98
  5. Step 5: Solve for x
    x = 748,639.98/707.38
  6. Step 6: Final answer
    x = 1,058.33

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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.