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Finding the Fourth Proportional to 706.32, 973.48 and 596.08

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Solution

The fourth proportional to 706.32, 973.48 and 596.08 is: 821.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.32 : 973.48 = 596.08 : x
  2. Step 2: Convert to fraction form
    706.32/973.48 = 596.08/x
  3. Step 3: Cross multiply
    706.32x = 973.48 × 596.08
  4. Step 4: Simplify right side
    706.32x = 580,271.96
  5. Step 5: Solve for x
    x = 580,271.96/706.32
  6. Step 6: Final answer
    x = 821.54

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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.