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Finding the Fourth Proportional to 926.03, 1,387.44 and 650.84

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Solution

The fourth proportional to 926.03, 1,387.44 and 650.84 is: 975.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.03 : 1,387.44 = 650.84 : x
  2. Step 2: Convert to fraction form
    926.03/1,387.44 = 650.84/x
  3. Step 3: Cross multiply
    926.03x = 1,387.44 × 650.84
  4. Step 4: Simplify right side
    926.03x = 902,994.51
  5. Step 5: Solve for x
    x = 902,994.51/926.03
  6. Step 6: Final answer
    x = 975.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.