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Finding the Fourth Proportional to 1,199.34, 1,797.53 and 468.18

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Solution

The fourth proportional to 1,199.34, 1,797.53 and 468.18 is: 701.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.34 : 1,797.53 = 468.18 : x
  2. Step 2: Convert to fraction form
    1,199.34/1,797.53 = 468.18/x
  3. Step 3: Cross multiply
    1,199.34x = 1,797.53 × 468.18
  4. Step 4: Simplify right side
    1,199.34x = 841,565.25
  5. Step 5: Solve for x
    x = 841,565.25/1,199.34
  6. Step 6: Final answer
    x = 701.69

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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.