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Finding the Fourth Proportional to 1,364.58, 2,045.04 and 498.06

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Solution

The fourth proportional to 1,364.58, 2,045.04 and 498.06 is: 746.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.58 : 2,045.04 = 498.06 : x
  2. Step 2: Convert to fraction form
    1,364.58/2,045.04 = 498.06/x
  3. Step 3: Cross multiply
    1,364.58x = 2,045.04 × 498.06
  4. Step 4: Simplify right side
    1,364.58x = 1,018,552.62
  5. Step 5: Solve for x
    x = 1,018,552.62/1,364.58
  6. Step 6: Final answer
    x = 746.42

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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.