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Finding the Fourth Proportional to 1,047.27, 1,570.94 and 389.32

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Solution

The fourth proportional to 1,047.27, 1,570.94 and 389.32 is: 583.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.27 : 1,570.94 = 389.32 : x
  2. Step 2: Convert to fraction form
    1,047.27/1,570.94 = 389.32/x
  3. Step 3: Cross multiply
    1,047.27x = 1,570.94 × 389.32
  4. Step 4: Simplify right side
    1,047.27x = 611,590.51
  5. Step 5: Solve for x
    x = 611,590.51/1,047.27
  6. Step 6: Final answer
    x = 583.99

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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.