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Finding the Fourth Proportional to 1,277.05, 1,762.41 and 836.14

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Solution

The fourth proportional to 1,277.05, 1,762.41 and 836.14 is: 1,153.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.05 : 1,762.41 = 836.14 : x
  2. Step 2: Convert to fraction form
    1,277.05/1,762.41 = 836.14/x
  3. Step 3: Cross multiply
    1,277.05x = 1,762.41 × 836.14
  4. Step 4: Simplify right side
    1,277.05x = 1,473,621.50
  5. Step 5: Solve for x
    x = 1,473,621.50/1,277.05
  6. Step 6: Final answer
    x = 1,153.93

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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.