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Finding the Fourth Proportional to 841.39, 1,258.74 and 709.91

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Solution

The fourth proportional to 841.39, 1,258.74 and 709.91 is: 1,062.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.39 : 1,258.74 = 709.91 : x
  2. Step 2: Convert to fraction form
    841.39/1,258.74 = 709.91/x
  3. Step 3: Cross multiply
    841.39x = 1,258.74 × 709.91
  4. Step 4: Simplify right side
    841.39x = 893,597.62
  5. Step 5: Solve for x
    x = 893,597.62/841.39
  6. Step 6: Final answer
    x = 1,062.05

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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.