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Finding the Fourth Proportional to 790.64, 1,185.64 and 277.52

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Solution

The fourth proportional to 790.64, 1,185.64 and 277.52 is: 416.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.64 : 1,185.64 = 277.52 : x
  2. Step 2: Convert to fraction form
    790.64/1,185.64 = 277.52/x
  3. Step 3: Cross multiply
    790.64x = 1,185.64 × 277.52
  4. Step 4: Simplify right side
    790.64x = 329,038.81
  5. Step 5: Solve for x
    x = 329,038.81/790.64
  6. Step 6: Final answer
    x = 416.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.