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Finding the Fourth Proportional to 1,082.57, 1,624.19 and 497.54

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Solution

The fourth proportional to 1,082.57, 1,624.19 and 497.54 is: 746.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.57 : 1,624.19 = 497.54 : x
  2. Step 2: Convert to fraction form
    1,082.57/1,624.19 = 497.54/x
  3. Step 3: Cross multiply
    1,082.57x = 1,624.19 × 497.54
  4. Step 4: Simplify right side
    1,082.57x = 808,088.88
  5. Step 5: Solve for x
    x = 808,088.88/1,082.57
  6. Step 6: Final answer
    x = 746.46

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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.