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Finding the Fourth Proportional to 1,254.58, 1,881.77 and 561.29

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Solution

The fourth proportional to 1,254.58, 1,881.77 and 561.29 is: 841.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.58 : 1,881.77 = 561.29 : x
  2. Step 2: Convert to fraction form
    1,254.58/1,881.77 = 561.29/x
  3. Step 3: Cross multiply
    1,254.58x = 1,881.77 × 561.29
  4. Step 4: Simplify right side
    1,254.58x = 1,056,206.47
  5. Step 5: Solve for x
    x = 1,056,206.47/1,254.58
  6. Step 6: Final answer
    x = 841.88

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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.