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Finding the Fourth Proportional to 1,043.65, 1,565.49 and 350.33

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Solution

The fourth proportional to 1,043.65, 1,565.49 and 350.33 is: 525.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.65 : 1,565.49 = 350.33 : x
  2. Step 2: Convert to fraction form
    1,043.65/1,565.49 = 350.33/x
  3. Step 3: Cross multiply
    1,043.65x = 1,565.49 × 350.33
  4. Step 4: Simplify right side
    1,043.65x = 548,431.60
  5. Step 5: Solve for x
    x = 548,431.60/1,043.65
  6. Step 6: Final answer
    x = 525.49

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Double scale
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1.5x scale

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.