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Finding the Fourth Proportional to 1,043.32, 1,565.07 and 427.07

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Solution

The fourth proportional to 1,043.32, 1,565.07 and 427.07 is: 640.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.32 : 1,565.07 = 427.07 : x
  2. Step 2: Convert to fraction form
    1,043.32/1,565.07 = 427.07/x
  3. Step 3: Cross multiply
    1,043.32x = 1,565.07 × 427.07
  4. Step 4: Simplify right side
    1,043.32x = 668,394.44
  5. Step 5: Solve for x
    x = 668,394.44/1,043.32
  6. Step 6: Final answer
    x = 640.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.