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Finding the Fourth Proportional to 1,048.27, 1,572.57 and 317.76

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Solution

The fourth proportional to 1,048.27, 1,572.57 and 317.76 is: 476.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.27 : 1,572.57 = 317.76 : x
  2. Step 2: Convert to fraction form
    1,048.27/1,572.57 = 317.76/x
  3. Step 3: Cross multiply
    1,048.27x = 1,572.57 × 317.76
  4. Step 4: Simplify right side
    1,048.27x = 499,699.84
  5. Step 5: Solve for x
    x = 499,699.84/1,048.27
  6. Step 6: Final answer
    x = 476.69

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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.