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Finding the Fourth Proportional to 1,040.45, 1,435.52 and 592.33

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Solution

The fourth proportional to 1,040.45, 1,435.52 and 592.33 is: 817.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.45 : 1,435.52 = 592.33 : x
  2. Step 2: Convert to fraction form
    1,040.45/1,435.52 = 592.33/x
  3. Step 3: Cross multiply
    1,040.45x = 1,435.52 × 592.33
  4. Step 4: Simplify right side
    1,040.45x = 850,295.55
  5. Step 5: Solve for x
    x = 850,295.55/1,040.45
  6. Step 6: Final answer
    x = 817.24

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1.5x scale

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.