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Finding the Fourth Proportional to 1,057.30, 1,585.58 and 316.69

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Solution

The fourth proportional to 1,057.30, 1,585.58 and 316.69 is: 474.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.30 : 1,585.58 = 316.69 : x
  2. Step 2: Convert to fraction form
    1,057.30/1,585.58 = 316.69/x
  3. Step 3: Cross multiply
    1,057.30x = 1,585.58 × 316.69
  4. Step 4: Simplify right side
    1,057.30x = 502,131.78
  5. Step 5: Solve for x
    x = 502,131.78/1,057.30
  6. Step 6: Final answer
    x = 474.92

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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.