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Finding the Fourth Proportional to 705.08, 971.86 and 598.16

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Solution

The fourth proportional to 705.08, 971.86 and 598.16 is: 824.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.08 : 971.86 = 598.16 : x
  2. Step 2: Convert to fraction form
    705.08/971.86 = 598.16/x
  3. Step 3: Cross multiply
    705.08x = 971.86 × 598.16
  4. Step 4: Simplify right side
    705.08x = 581,327.78
  5. Step 5: Solve for x
    x = 581,327.78/705.08
  6. Step 6: Final answer
    x = 824.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.