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Finding the Fourth Proportional to 1,407.14, 1,941.83 and 777.64

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Solution

The fourth proportional to 1,407.14, 1,941.83 and 777.64 is: 1,073.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.14 : 1,941.83 = 777.64 : x
  2. Step 2: Convert to fraction form
    1,407.14/1,941.83 = 777.64/x
  3. Step 3: Cross multiply
    1,407.14x = 1,941.83 × 777.64
  4. Step 4: Simplify right side
    1,407.14x = 1,510,031.08
  5. Step 5: Solve for x
    x = 1,510,031.08/1,407.14
  6. Step 6: Final answer
    x = 1,073.12

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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.