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Finding the Fourth Proportional to 706.50, 1,061.13 and 597.77

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Solution

The fourth proportional to 706.50, 1,061.13 and 597.77 is: 897.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.50 : 1,061.13 = 597.77 : x
  2. Step 2: Convert to fraction form
    706.50/1,061.13 = 597.77/x
  3. Step 3: Cross multiply
    706.50x = 1,061.13 × 597.77
  4. Step 4: Simplify right side
    706.50x = 634,306.37
  5. Step 5: Solve for x
    x = 634,306.37/706.50
  6. Step 6: Final answer
    x = 897.82

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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.