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Finding the Fourth Proportional to 1,094.39, 1,640.66 and 435.85

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Solution

The fourth proportional to 1,094.39, 1,640.66 and 435.85 is: 653.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.39 : 1,640.66 = 435.85 : x
  2. Step 2: Convert to fraction form
    1,094.39/1,640.66 = 435.85/x
  3. Step 3: Cross multiply
    1,094.39x = 1,640.66 × 435.85
  4. Step 4: Simplify right side
    1,094.39x = 715,075.38
  5. Step 5: Solve for x
    x = 715,075.38/1,094.39
  6. Step 6: Final answer
    x = 653.40

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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.