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Finding the Fourth Proportional to 1,258.12, 1,733.10 and 1,071.01

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Solution

The fourth proportional to 1,258.12, 1,733.10 and 1,071.01 is: 1,475.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258.12 : 1,733.10 = 1,071.01 : x
  2. Step 2: Convert to fraction form
    1,258.12/1,733.10 = 1,071.01/x
  3. Step 3: Cross multiply
    1,258.12x = 1,733.10 × 1,071.01
  4. Step 4: Simplify right side
    1,258.12x = 1,856,167.43
  5. Step 5: Solve for x
    x = 1,856,167.43/1,258.12
  6. Step 6: Final answer
    x = 1,475.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.