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Finding the Fourth Proportional to 790.58, 1,185.18 and 400.08

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Solution

The fourth proportional to 790.58, 1,185.18 and 400.08 is: 599.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.58 : 1,185.18 = 400.08 : x
  2. Step 2: Convert to fraction form
    790.58/1,185.18 = 400.08/x
  3. Step 3: Cross multiply
    790.58x = 1,185.18 × 400.08
  4. Step 4: Simplify right side
    790.58x = 474,166.81
  5. Step 5: Solve for x
    x = 474,166.81/790.58
  6. Step 6: Final answer
    x = 599.77

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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.