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Finding the Fourth Proportional to 1,094.94, 1,511.21 and 652.87

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Solution

The fourth proportional to 1,094.94, 1,511.21 and 652.87 is: 901.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.94 : 1,511.21 = 652.87 : x
  2. Step 2: Convert to fraction form
    1,094.94/1,511.21 = 652.87/x
  3. Step 3: Cross multiply
    1,094.94x = 1,511.21 × 652.87
  4. Step 4: Simplify right side
    1,094.94x = 986,612.85
  5. Step 5: Solve for x
    x = 986,612.85/1,094.94
  6. Step 6: Final answer
    x = 901.07

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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.