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Finding the Fourth Proportional to 872.51, 1,307.75 and 410.00

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Solution

The fourth proportional to 872.51, 1,307.75 and 410.00 is: 614.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.51 : 1,307.75 = 410.00 : x
  2. Step 2: Convert to fraction form
    872.51/1,307.75 = 410.00/x
  3. Step 3: Cross multiply
    872.51x = 1,307.75 × 410.00
  4. Step 4: Simplify right side
    872.51x = 536,168.91
  5. Step 5: Solve for x
    x = 536,168.91/872.51
  6. Step 6: Final answer
    x = 614.52

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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.