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Finding the Fourth Proportional to 1,359.06, 2,038.32 and 493.08

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Solution

The fourth proportional to 1,359.06, 2,038.32 and 493.08 is: 739.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359.06 : 2,038.32 = 493.08 : x
  2. Step 2: Convert to fraction form
    1,359.06/2,038.32 = 493.08/x
  3. Step 3: Cross multiply
    1,359.06x = 2,038.32 × 493.08
  4. Step 4: Simplify right side
    1,359.06x = 1,005,054.83
  5. Step 5: Solve for x
    x = 1,005,054.83/1,359.06
  6. Step 6: Final answer
    x = 739.52

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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.