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Finding the Fourth Proportional to 1,094.70, 1,643.04 and 575.05

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Solution

The fourth proportional to 1,094.70, 1,643.04 and 575.05 is: 863.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.70 : 1,643.04 = 575.05 : x
  2. Step 2: Convert to fraction form
    1,094.70/1,643.04 = 575.05/x
  3. Step 3: Cross multiply
    1,094.70x = 1,643.04 × 575.05
  4. Step 4: Simplify right side
    1,094.70x = 944,830.15
  5. Step 5: Solve for x
    x = 944,830.15/1,094.70
  6. Step 6: Final answer
    x = 863.10

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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.