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Finding the Fourth Proportional to 1,426, 1,967.58 and 836.58

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Solution

The fourth proportional to 1,426, 1,967.58 and 836.58 is: 1,154.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426 : 1,967.58 = 836.58 : x
  2. Step 2: Convert to fraction form
    1,426/1,967.58 = 836.58/x
  3. Step 3: Cross multiply
    1,426x = 1,967.58 × 836.58
  4. Step 4: Simplify right side
    1,426x = 1,646,038.08
  5. Step 5: Solve for x
    x = 1,646,038.08/1,426
  6. Step 6: Final answer
    x = 1,154.30

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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.