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Finding the Fourth Proportional to 1,380.70, 1,905.28 and 783.24

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Solution

The fourth proportional to 1,380.70, 1,905.28 and 783.24 is: 1,080.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.70 : 1,905.28 = 783.24 : x
  2. Step 2: Convert to fraction form
    1,380.70/1,905.28 = 783.24/x
  3. Step 3: Cross multiply
    1,380.70x = 1,905.28 × 783.24
  4. Step 4: Simplify right side
    1,380.70x = 1,492,291.51
  5. Step 5: Solve for x
    x = 1,492,291.51/1,380.70
  6. Step 6: Final answer
    x = 1,080.82

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1.5x scale

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.