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Finding the Fourth Proportional to 1,513.34, 2,269.74 and 417.79

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Solution

The fourth proportional to 1,513.34, 2,269.74 and 417.79 is: 626.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.34 : 2,269.74 = 417.79 : x
  2. Step 2: Convert to fraction form
    1,513.34/2,269.74 = 417.79/x
  3. Step 3: Cross multiply
    1,513.34x = 2,269.74 × 417.79
  4. Step 4: Simplify right side
    1,513.34x = 948,261.24
  5. Step 5: Solve for x
    x = 948,261.24/1,513.34
  6. Step 6: Final answer
    x = 626.60

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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.