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Finding the Fourth Proportional to 1,364.67, 2,047.01 and 498.51

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Solution

The fourth proportional to 1,364.67, 2,047.01 and 498.51 is: 747.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.67 : 2,047.01 = 498.51 : x
  2. Step 2: Convert to fraction form
    1,364.67/2,047.01 = 498.51/x
  3. Step 3: Cross multiply
    1,364.67x = 2,047.01 × 498.51
  4. Step 4: Simplify right side
    1,364.67x = 1,020,452.46
  5. Step 5: Solve for x
    x = 1,020,452.46/1,364.67
  6. Step 6: Final answer
    x = 747.77

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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.