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Finding the Fourth Proportional to 1,199.19, 1,798.05 and 467.90

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Solution

The fourth proportional to 1,199.19, 1,798.05 and 467.90 is: 701.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.19 : 1,798.05 = 467.90 : x
  2. Step 2: Convert to fraction form
    1,199.19/1,798.05 = 467.90/x
  3. Step 3: Cross multiply
    1,199.19x = 1,798.05 × 467.90
  4. Step 4: Simplify right side
    1,199.19x = 841,307.60
  5. Step 5: Solve for x
    x = 841,307.60/1,199.19
  6. Step 6: Final answer
    x = 701.56

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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.