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Finding the Fourth Proportional to 1,094.80, 1,642.61 and 510.09

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Solution

The fourth proportional to 1,094.80, 1,642.61 and 510.09 is: 765.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.80 : 1,642.61 = 510.09 : x
  2. Step 2: Convert to fraction form
    1,094.80/1,642.61 = 510.09/x
  3. Step 3: Cross multiply
    1,094.80x = 1,642.61 × 510.09
  4. Step 4: Simplify right side
    1,094.80x = 837,878.93
  5. Step 5: Solve for x
    x = 837,878.93/1,094.80
  6. Step 6: Final answer
    x = 765.33

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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.