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Finding the Fourth Proportional to 1,258.20, 1,886.22 and 436.05

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Solution

The fourth proportional to 1,258.20, 1,886.22 and 436.05 is: 653.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258.20 : 1,886.22 = 436.05 : x
  2. Step 2: Convert to fraction form
    1,258.20/1,886.22 = 436.05/x
  3. Step 3: Cross multiply
    1,258.20x = 1,886.22 × 436.05
  4. Step 4: Simplify right side
    1,258.20x = 822,486.23
  5. Step 5: Solve for x
    x = 822,486.23/1,258.20
  6. Step 6: Final answer
    x = 653.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.