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Finding the Fourth Proportional to 787.08, 1,087.64 and 600.40

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Solution

The fourth proportional to 787.08, 1,087.64 and 600.40 is: 829.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.08 : 1,087.64 = 600.40 : x
  2. Step 2: Convert to fraction form
    787.08/1,087.64 = 600.40/x
  3. Step 3: Cross multiply
    787.08x = 1,087.64 × 600.40
  4. Step 4: Simplify right side
    787.08x = 653,019.06
  5. Step 5: Solve for x
    x = 653,019.06/787.08
  6. Step 6: Final answer
    x = 829.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.