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Finding the Fourth Proportional to 1,033.57, 1,547.71 and 570.83

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Solution

The fourth proportional to 1,033.57, 1,547.71 and 570.83 is: 854.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.57 : 1,547.71 = 570.83 : x
  2. Step 2: Convert to fraction form
    1,033.57/1,547.71 = 570.83/x
  3. Step 3: Cross multiply
    1,033.57x = 1,547.71 × 570.83
  4. Step 4: Simplify right side
    1,033.57x = 883,479.30
  5. Step 5: Solve for x
    x = 883,479.30/1,033.57
  6. Step 6: Final answer
    x = 854.78

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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.