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Finding the Fourth Proportional to 1,258.34, 1,886.83 and 436.55

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Solution

The fourth proportional to 1,258.34, 1,886.83 and 436.55 is: 654.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258.34 : 1,886.83 = 436.55 : x
  2. Step 2: Convert to fraction form
    1,258.34/1,886.83 = 436.55/x
  3. Step 3: Cross multiply
    1,258.34x = 1,886.83 × 436.55
  4. Step 4: Simplify right side
    1,258.34x = 823,685.11
  5. Step 5: Solve for x
    x = 823,685.11/1,258.34
  6. Step 6: Final answer
    x = 654.58

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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.