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Finding the Fourth Proportional to 1,041.33, 1,437.02 and 569.22

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Solution

The fourth proportional to 1,041.33, 1,437.02 and 569.22 is: 785.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.33 : 1,437.02 = 569.22 : x
  2. Step 2: Convert to fraction form
    1,041.33/1,437.02 = 569.22/x
  3. Step 3: Cross multiply
    1,041.33x = 1,437.02 × 569.22
  4. Step 4: Simplify right side
    1,041.33x = 817,977.68
  5. Step 5: Solve for x
    x = 817,977.68/1,041.33
  6. Step 6: Final answer
    x = 785.51

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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.