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Finding the Fourth Proportional to 1,017.16, 1,522.36 and 926.07

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Solution

The fourth proportional to 1,017.16, 1,522.36 and 926.07 is: 1,386.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.16 : 1,522.36 = 926.07 : x
  2. Step 2: Convert to fraction form
    1,017.16/1,522.36 = 926.07/x
  3. Step 3: Cross multiply
    1,017.16x = 1,522.36 × 926.07
  4. Step 4: Simplify right side
    1,017.16x = 1,409,807.37
  5. Step 5: Solve for x
    x = 1,409,807.37/1,017.16
  6. Step 6: Final answer
    x = 1,386.03

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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.