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Finding the Fourth Proportional to 1,112.61, 1,533.63 and 876.18

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Solution

The fourth proportional to 1,112.61, 1,533.63 and 876.18 is: 1,207.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.61 : 1,533.63 = 876.18 : x
  2. Step 2: Convert to fraction form
    1,112.61/1,533.63 = 876.18/x
  3. Step 3: Cross multiply
    1,112.61x = 1,533.63 × 876.18
  4. Step 4: Simplify right side
    1,112.61x = 1,343,741.96
  5. Step 5: Solve for x
    x = 1,343,741.96/1,112.61
  6. Step 6: Final answer
    x = 1,207.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.