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Finding the Fourth Proportional to 784.04, 1,175.84 and 315.51

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Solution

The fourth proportional to 784.04, 1,175.84 and 315.51 is: 473.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.04 : 1,175.84 = 315.51 : x
  2. Step 2: Convert to fraction form
    784.04/1,175.84 = 315.51/x
  3. Step 3: Cross multiply
    784.04x = 1,175.84 × 315.51
  4. Step 4: Simplify right side
    784.04x = 370,993.29
  5. Step 5: Solve for x
    x = 370,993.29/784.04
  6. Step 6: Final answer
    x = 473.18

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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.