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Finding the Fourth Proportional to 1,233.71, 1,848.95 and 584.63

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Solution

The fourth proportional to 1,233.71, 1,848.95 and 584.63 is: 876.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.71 : 1,848.95 = 584.63 : x
  2. Step 2: Convert to fraction form
    1,233.71/1,848.95 = 584.63/x
  3. Step 3: Cross multiply
    1,233.71x = 1,848.95 × 584.63
  4. Step 4: Simplify right side
    1,233.71x = 1,080,955.53
  5. Step 5: Solve for x
    x = 1,080,955.53/1,233.71
  6. Step 6: Final answer
    x = 876.18

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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.