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Finding the Fourth Proportional to 1,445.84, 1,995.26 and 782.70

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Solution

The fourth proportional to 1,445.84, 1,995.26 and 782.70 is: 1,080.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445.84 : 1,995.26 = 782.70 : x
  2. Step 2: Convert to fraction form
    1,445.84/1,995.26 = 782.70/x
  3. Step 3: Cross multiply
    1,445.84x = 1,995.26 × 782.70
  4. Step 4: Simplify right side
    1,445.84x = 1,561,697.64
  5. Step 5: Solve for x
    x = 1,561,697.64/1,445.84
  6. Step 6: Final answer
    x = 1,080.13

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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.