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Finding the Fourth Proportional to 1,041.29, 1,436.93 and 569.17

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Solution

The fourth proportional to 1,041.29, 1,436.93 and 569.17 is: 785.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.29 : 1,436.93 = 569.17 : x
  2. Step 2: Convert to fraction form
    1,041.29/1,436.93 = 569.17/x
  3. Step 3: Cross multiply
    1,041.29x = 1,436.93 × 569.17
  4. Step 4: Simplify right side
    1,041.29x = 817,857.45
  5. Step 5: Solve for x
    x = 817,857.45/1,041.29
  6. Step 6: Final answer
    x = 785.43

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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.