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Finding the Fourth Proportional to 790.10, 1,184.46 and 512.58

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Solution

The fourth proportional to 790.10, 1,184.46 and 512.58 is: 768.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.10 : 1,184.46 = 512.58 : x
  2. Step 2: Convert to fraction form
    790.10/1,184.46 = 512.58/x
  3. Step 3: Cross multiply
    790.10x = 1,184.46 × 512.58
  4. Step 4: Simplify right side
    790.10x = 607,130.51
  5. Step 5: Solve for x
    x = 607,130.51/790.10
  6. Step 6: Final answer
    x = 768.42

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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.