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Finding the Fourth Proportional to 1,006.25, 1,509.60 and 356.98

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Solution

The fourth proportional to 1,006.25, 1,509.60 and 356.98 is: 535.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.25 : 1,509.60 = 356.98 : x
  2. Step 2: Convert to fraction form
    1,006.25/1,509.60 = 356.98/x
  3. Step 3: Cross multiply
    1,006.25x = 1,509.60 × 356.98
  4. Step 4: Simplify right side
    1,006.25x = 538,895.22
  5. Step 5: Solve for x
    x = 538,895.22/1,006.25
  6. Step 6: Final answer
    x = 535.55

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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.