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Finding the Fourth Proportional to 1,215.78, 1,824.62 and 848.18

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Solution

The fourth proportional to 1,215.78, 1,824.62 and 848.18 is: 1,272.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.78 : 1,824.62 = 848.18 : x
  2. Step 2: Convert to fraction form
    1,215.78/1,824.62 = 848.18/x
  3. Step 3: Cross multiply
    1,215.78x = 1,824.62 × 848.18
  4. Step 4: Simplify right side
    1,215.78x = 1,547,599.19
  5. Step 5: Solve for x
    x = 1,547,599.19/1,215.78
  6. Step 6: Final answer
    x = 1,272.93

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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.