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Finding the Fourth Proportional to 706.19, 973.59 and 595.47

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Solution

The fourth proportional to 706.19, 973.59 and 595.47 is: 820.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.19 : 973.59 = 595.47 : x
  2. Step 2: Convert to fraction form
    706.19/973.59 = 595.47/x
  3. Step 3: Cross multiply
    706.19x = 973.59 × 595.47
  4. Step 4: Simplify right side
    706.19x = 579,745.06
  5. Step 5: Solve for x
    x = 579,745.06/706.19
  6. Step 6: Final answer
    x = 820.95

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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.