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Finding the Fourth Proportional to 926.55, 1,384.40 and 894.26

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Solution

The fourth proportional to 926.55, 1,384.40 and 894.26 is: 1,336.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.55 : 1,384.40 = 894.26 : x
  2. Step 2: Convert to fraction form
    926.55/1,384.40 = 894.26/x
  3. Step 3: Cross multiply
    926.55x = 1,384.40 × 894.26
  4. Step 4: Simplify right side
    926.55x = 1,238,002.15
  5. Step 5: Solve for x
    x = 1,238,002.15/926.55
  6. Step 6: Final answer
    x = 1,336.14

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.