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Finding the Fourth Proportional to 798.84, 1,199.67 and 706.50

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Solution

The fourth proportional to 798.84, 1,199.67 and 706.50 is: 1,061.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.84 : 1,199.67 = 706.50 : x
  2. Step 2: Convert to fraction form
    798.84/1,199.67 = 706.50/x
  3. Step 3: Cross multiply
    798.84x = 1,199.67 × 706.50
  4. Step 4: Simplify right side
    798.84x = 847,566.86
  5. Step 5: Solve for x
    x = 847,566.86/798.84
  6. Step 6: Final answer
    x = 1,061.00

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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.