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Finding the Fourth Proportional to 1,294.95, 1,787.01 and 705.50

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Solution

The fourth proportional to 1,294.95, 1,787.01 and 705.50 is: 973.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.95 : 1,787.01 = 705.50 : x
  2. Step 2: Convert to fraction form
    1,294.95/1,787.01 = 705.50/x
  3. Step 3: Cross multiply
    1,294.95x = 1,787.01 × 705.50
  4. Step 4: Simplify right side
    1,294.95x = 1,260,726.62
  5. Step 5: Solve for x
    x = 1,260,726.62/1,294.95
  6. Step 6: Final answer
    x = 973.57

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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.