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Finding the Fourth Proportional to 848.62, 1,271.51 and 816.62

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Solution

The fourth proportional to 848.62, 1,271.51 and 816.62 is: 1,223.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.62 : 1,271.51 = 816.62 : x
  2. Step 2: Convert to fraction form
    848.62/1,271.51 = 816.62/x
  3. Step 3: Cross multiply
    848.62x = 1,271.51 × 816.62
  4. Step 4: Simplify right side
    848.62x = 1,038,340.50
  5. Step 5: Solve for x
    x = 1,038,340.50/848.62
  6. Step 6: Final answer
    x = 1,223.57

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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.