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Finding the Fourth Proportional to 1,002.77, 1,503.24 and 569.62

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Solution

The fourth proportional to 1,002.77, 1,503.24 and 569.62 is: 853.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.77 : 1,503.24 = 569.62 : x
  2. Step 2: Convert to fraction form
    1,002.77/1,503.24 = 569.62/x
  3. Step 3: Cross multiply
    1,002.77x = 1,503.24 × 569.62
  4. Step 4: Simplify right side
    1,002.77x = 856,275.57
  5. Step 5: Solve for x
    x = 856,275.57/1,002.77
  6. Step 6: Final answer
    x = 853.91

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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.