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Finding the Fourth Proportional to 787.36, 1,178.52 and 569.92

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Solution

The fourth proportional to 787.36, 1,178.52 and 569.92 is: 853.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.36 : 1,178.52 = 569.92 : x
  2. Step 2: Convert to fraction form
    787.36/1,178.52 = 569.92/x
  3. Step 3: Cross multiply
    787.36x = 1,178.52 × 569.92
  4. Step 4: Simplify right side
    787.36x = 671,662.12
  5. Step 5: Solve for x
    x = 671,662.12/787.36
  6. Step 6: Final answer
    x = 853.06

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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.