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Finding the Fourth Proportional to 1,184.30, 1,776.58 and 318.68

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Solution

The fourth proportional to 1,184.30, 1,776.58 and 318.68 is: 478.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.30 : 1,776.58 = 318.68 : x
  2. Step 2: Convert to fraction form
    1,184.30/1,776.58 = 318.68/x
  3. Step 3: Cross multiply
    1,184.30x = 1,776.58 × 318.68
  4. Step 4: Simplify right side
    1,184.30x = 566,160.51
  5. Step 5: Solve for x
    x = 566,160.51/1,184.30
  6. Step 6: Final answer
    x = 478.05

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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.