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Finding the Fourth Proportional to 1,300.65, 1,949.67 and 570.03

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Solution

The fourth proportional to 1,300.65, 1,949.67 and 570.03 is: 854.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.65 : 1,949.67 = 570.03 : x
  2. Step 2: Convert to fraction form
    1,300.65/1,949.67 = 570.03/x
  3. Step 3: Cross multiply
    1,300.65x = 1,949.67 × 570.03
  4. Step 4: Simplify right side
    1,300.65x = 1,111,370.39
  5. Step 5: Solve for x
    x = 1,111,370.39/1,300.65
  6. Step 6: Final answer
    x = 854.47

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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.