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Finding the Fourth Proportional to 790.84, 1,186.51 and 380.00

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Solution

The fourth proportional to 790.84, 1,186.51 and 380.00 is: 570.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.84 : 1,186.51 = 380.00 : x
  2. Step 2: Convert to fraction form
    790.84/1,186.51 = 380.00/x
  3. Step 3: Cross multiply
    790.84x = 1,186.51 × 380.00
  4. Step 4: Simplify right side
    790.84x = 450,876.53
  5. Step 5: Solve for x
    x = 450,876.53/790.84
  6. Step 6: Final answer
    x = 570.13

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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.