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Finding the Fourth Proportional to 1,029.52, 1,544.24 and 345.52

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Solution

The fourth proportional to 1,029.52, 1,544.24 and 345.52 is: 518.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.52 : 1,544.24 = 345.52 : x
  2. Step 2: Convert to fraction form
    1,029.52/1,544.24 = 345.52/x
  3. Step 3: Cross multiply
    1,029.52x = 1,544.24 × 345.52
  4. Step 4: Simplify right side
    1,029.52x = 533,565.80
  5. Step 5: Solve for x
    x = 533,565.80/1,029.52
  6. Step 6: Final answer
    x = 518.27

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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.