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Finding the Fourth Proportional to 1,041.93, 1,437.86 and 569.83

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Solution

The fourth proportional to 1,041.93, 1,437.86 and 569.83 is: 786.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.93 : 1,437.86 = 569.83 : x
  2. Step 2: Convert to fraction form
    1,041.93/1,437.86 = 569.83/x
  3. Step 3: Cross multiply
    1,041.93x = 1,437.86 × 569.83
  4. Step 4: Simplify right side
    1,041.93x = 819,332.91
  5. Step 5: Solve for x
    x = 819,332.91/1,041.93
  6. Step 6: Final answer
    x = 786.36

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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.