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Finding the Fourth Proportional to 1,254.68, 1,881.93 and 561.41

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Solution

The fourth proportional to 1,254.68, 1,881.93 and 561.41 is: 842.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.68 : 1,881.93 = 561.41 : x
  2. Step 2: Convert to fraction form
    1,254.68/1,881.93 = 561.41/x
  3. Step 3: Cross multiply
    1,254.68x = 1,881.93 × 561.41
  4. Step 4: Simplify right side
    1,254.68x = 1,056,534.32
  5. Step 5: Solve for x
    x = 1,056,534.32/1,254.68
  6. Step 6: Final answer
    x = 842.07

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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.