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Finding the Fourth Proportional to 1,040.37, 1,435.65 and 592.20

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Solution

The fourth proportional to 1,040.37, 1,435.65 and 592.20 is: 817.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.37 : 1,435.65 = 592.20 : x
  2. Step 2: Convert to fraction form
    1,040.37/1,435.65 = 592.20/x
  3. Step 3: Cross multiply
    1,040.37x = 1,435.65 × 592.20
  4. Step 4: Simplify right side
    1,040.37x = 850,193.41
  5. Step 5: Solve for x
    x = 850,193.41/1,040.37
  6. Step 6: Final answer
    x = 817.21

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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.