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Finding the Fourth Proportional to 1,107.70, 1,657.95 and 783.70

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Solution

The fourth proportional to 1,107.70, 1,657.95 and 783.70 is: 1,173.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.70 : 1,657.95 = 783.70 : x
  2. Step 2: Convert to fraction form
    1,107.70/1,657.95 = 783.70/x
  3. Step 3: Cross multiply
    1,107.70x = 1,657.95 × 783.70
  4. Step 4: Simplify right side
    1,107.70x = 1,299,335.42
  5. Step 5: Solve for x
    x = 1,299,335.42/1,107.70
  6. Step 6: Final answer
    x = 1,173.00

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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.