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Finding the Fourth Proportional to 1,116.64, 1,541.04 and 784.94

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Solution

The fourth proportional to 1,116.64, 1,541.04 and 784.94 is: 1,083.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.64 : 1,541.04 = 784.94 : x
  2. Step 2: Convert to fraction form
    1,116.64/1,541.04 = 784.94/x
  3. Step 3: Cross multiply
    1,116.64x = 1,541.04 × 784.94
  4. Step 4: Simplify right side
    1,116.64x = 1,209,623.94
  5. Step 5: Solve for x
    x = 1,209,623.94/1,116.64
  6. Step 6: Final answer
    x = 1,083.27

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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.