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Finding the Fourth Proportional to 1,057.07, 1,585.14 and 569.55

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Solution

The fourth proportional to 1,057.07, 1,585.14 and 569.55 is: 854.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.07 : 1,585.14 = 569.55 : x
  2. Step 2: Convert to fraction form
    1,057.07/1,585.14 = 569.55/x
  3. Step 3: Cross multiply
    1,057.07x = 1,585.14 × 569.55
  4. Step 4: Simplify right side
    1,057.07x = 902,811.38
  5. Step 5: Solve for x
    x = 902,811.38/1,057.07
  6. Step 6: Final answer
    x = 854.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.