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Finding the Fourth Proportional to 1,006.32, 1,509.48 and 357.07

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Solution

The fourth proportional to 1,006.32, 1,509.48 and 357.07 is: 535.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.32 : 1,509.48 = 357.07 : x
  2. Step 2: Convert to fraction form
    1,006.32/1,509.48 = 357.07/x
  3. Step 3: Cross multiply
    1,006.32x = 1,509.48 × 357.07
  4. Step 4: Simplify right side
    1,006.32x = 538,990.02
  5. Step 5: Solve for x
    x = 538,990.02/1,006.32
  6. Step 6: Final answer
    x = 535.61

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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.