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Finding the Fourth Proportional to 1,269.40, 1,905.30 and 783.40

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Solution

The fourth proportional to 1,269.40, 1,905.30 and 783.40 is: 1,175.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.40 : 1,905.30 = 783.40 : x
  2. Step 2: Convert to fraction form
    1,269.40/1,905.30 = 783.40/x
  3. Step 3: Cross multiply
    1,269.40x = 1,905.30 × 783.40
  4. Step 4: Simplify right side
    1,269.40x = 1,492,612.02
  5. Step 5: Solve for x
    x = 1,492,612.02/1,269.40
  6. Step 6: Final answer
    x = 1,175.84

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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.