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Finding the Fourth Proportional to 1,011.37, 1,395.50 and 569.18

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Solution

The fourth proportional to 1,011.37, 1,395.50 and 569.18 is: 785.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.37 : 1,395.50 = 569.18 : x
  2. Step 2: Convert to fraction form
    1,011.37/1,395.50 = 569.18/x
  3. Step 3: Cross multiply
    1,011.37x = 1,395.50 × 569.18
  4. Step 4: Simplify right side
    1,011.37x = 794,288.29
  5. Step 5: Solve for x
    x = 794,288.29/1,011.37
  6. Step 6: Final answer
    x = 785.36

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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.