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Finding the Fourth Proportional to 1,061, 1,464.34 and 782.70

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Solution

The fourth proportional to 1,061, 1,464.34 and 782.70 is: 1,080.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061 : 1,464.34 = 782.70 : x
  2. Step 2: Convert to fraction form
    1,061/1,464.34 = 782.70/x
  3. Step 3: Cross multiply
    1,061x = 1,464.34 × 782.70
  4. Step 4: Simplify right side
    1,061x = 1,146,138.92
  5. Step 5: Solve for x
    x = 1,146,138.92/1,061
  6. Step 6: Final answer
    x = 1,080.24

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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.