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Finding the Fourth Proportional to 1,199.50, 1,798.71 and 469.06

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Solution

The fourth proportional to 1,199.50, 1,798.71 and 469.06 is: 703.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.50 : 1,798.71 = 469.06 : x
  2. Step 2: Convert to fraction form
    1,199.50/1,798.71 = 469.06/x
  3. Step 3: Cross multiply
    1,199.50x = 1,798.71 × 469.06
  4. Step 4: Simplify right side
    1,199.50x = 843,702.91
  5. Step 5: Solve for x
    x = 843,702.91/1,199.50
  6. Step 6: Final answer
    x = 703.38

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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.