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Finding the Fourth Proportional to 1,277.66, 1,762.35 and 836.08

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Solution

The fourth proportional to 1,277.66, 1,762.35 and 836.08 is: 1,153.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.66 : 1,762.35 = 836.08 : x
  2. Step 2: Convert to fraction form
    1,277.66/1,762.35 = 836.08/x
  3. Step 3: Cross multiply
    1,277.66x = 1,762.35 × 836.08
  4. Step 4: Simplify right side
    1,277.66x = 1,473,465.59
  5. Step 5: Solve for x
    x = 1,473,465.59/1,277.66
  6. Step 6: Final answer
    x = 1,153.25

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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.