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Finding the Fourth Proportional to 1,266.42, 1,899.51 and 802.80

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Solution

The fourth proportional to 1,266.42, 1,899.51 and 802.80 is: 1,204.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.42 : 1,899.51 = 802.80 : x
  2. Step 2: Convert to fraction form
    1,266.42/1,899.51 = 802.80/x
  3. Step 3: Cross multiply
    1,266.42x = 1,899.51 × 802.80
  4. Step 4: Simplify right side
    1,266.42x = 1,524,926.63
  5. Step 5: Solve for x
    x = 1,524,926.63/1,266.42
  6. Step 6: Final answer
    x = 1,204.12

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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.