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Finding the Fourth Proportional to 848.07, 1,271.45 and 409.10

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Solution

The fourth proportional to 848.07, 1,271.45 and 409.10 is: 613.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.07 : 1,271.45 = 409.10 : x
  2. Step 2: Convert to fraction form
    848.07/1,271.45 = 409.10/x
  3. Step 3: Cross multiply
    848.07x = 1,271.45 × 409.10
  4. Step 4: Simplify right side
    848.07x = 520,143.84
  5. Step 5: Solve for x
    x = 520,143.84/848.07
  6. Step 6: Final answer
    x = 613.33

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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.