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Finding the Fourth Proportional to 790.55, 1,186.29 and 304.01

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Solution

The fourth proportional to 790.55, 1,186.29 and 304.01 is: 456.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.55 : 1,186.29 = 304.01 : x
  2. Step 2: Convert to fraction form
    790.55/1,186.29 = 304.01/x
  3. Step 3: Cross multiply
    790.55x = 1,186.29 × 304.01
  4. Step 4: Simplify right side
    790.55x = 360,638.09
  5. Step 5: Solve for x
    x = 360,638.09/790.55
  6. Step 6: Final answer
    x = 456.19

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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.