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Finding the Fourth Proportional to 705.96, 974.33 and 587.77

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Solution

The fourth proportional to 705.96, 974.33 and 587.77 is: 811.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.96 : 974.33 = 587.77 : x
  2. Step 2: Convert to fraction form
    705.96/974.33 = 587.77/x
  3. Step 3: Cross multiply
    705.96x = 974.33 × 587.77
  4. Step 4: Simplify right side
    705.96x = 572,674.13
  5. Step 5: Solve for x
    x = 572,674.13/705.96
  6. Step 6: Final answer
    x = 811.20

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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.