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Finding the Fourth Proportional to 787.80, 1,086.54 and 508.06

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Solution

The fourth proportional to 787.80, 1,086.54 and 508.06 is: 700.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.80 : 1,086.54 = 508.06 : x
  2. Step 2: Convert to fraction form
    787.80/1,086.54 = 508.06/x
  3. Step 3: Cross multiply
    787.80x = 1,086.54 × 508.06
  4. Step 4: Simplify right side
    787.80x = 552,027.51
  5. Step 5: Solve for x
    x = 552,027.51/787.80
  6. Step 6: Final answer
    x = 700.72

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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.