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Finding the Fourth Proportional to 1,594.35, 2,391.66 and 498.87

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Solution

The fourth proportional to 1,594.35, 2,391.66 and 498.87 is: 748.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,594.35 : 2,391.66 = 498.87 : x
  2. Step 2: Convert to fraction form
    1,594.35/2,391.66 = 498.87/x
  3. Step 3: Cross multiply
    1,594.35x = 2,391.66 × 498.87
  4. Step 4: Simplify right side
    1,594.35x = 1,193,127.42
  5. Step 5: Solve for x
    x = 1,193,127.42/1,594.35
  6. Step 6: Final answer
    x = 748.35

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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.