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Finding the Fourth Proportional to 1,011.46, 1,395.81 and 569.38

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Solution

The fourth proportional to 1,011.46, 1,395.81 and 569.38 is: 785.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.46 : 1,395.81 = 569.38 : x
  2. Step 2: Convert to fraction form
    1,011.46/1,395.81 = 569.38/x
  3. Step 3: Cross multiply
    1,011.46x = 1,395.81 × 569.38
  4. Step 4: Simplify right side
    1,011.46x = 794,746.30
  5. Step 5: Solve for x
    x = 794,746.30/1,011.46
  6. Step 6: Final answer
    x = 785.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.