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Finding the Fourth Proportional to 1,018.35, 1,530.90 and 837.09

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Solution

The fourth proportional to 1,018.35, 1,530.90 and 837.09 is: 1,258.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.35 : 1,530.90 = 837.09 : x
  2. Step 2: Convert to fraction form
    1,018.35/1,530.90 = 837.09/x
  3. Step 3: Cross multiply
    1,018.35x = 1,530.90 × 837.09
  4. Step 4: Simplify right side
    1,018.35x = 1,281,501.08
  5. Step 5: Solve for x
    x = 1,281,501.08/1,018.35
  6. Step 6: Final answer
    x = 1,258.41

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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.