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Finding the Fourth Proportional to 1,613.16, 2,420.02 and 639.26

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Solution

The fourth proportional to 1,613.16, 2,420.02 and 639.26 is: 959.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613.16 : 2,420.02 = 639.26 : x
  2. Step 2: Convert to fraction form
    1,613.16/2,420.02 = 639.26/x
  3. Step 3: Cross multiply
    1,613.16x = 2,420.02 × 639.26
  4. Step 4: Simplify right side
    1,613.16x = 1,547,021.99
  5. Step 5: Solve for x
    x = 1,547,021.99/1,613.16
  6. Step 6: Final answer
    x = 959.00

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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.