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Finding the Fourth Proportional to 1,274.32, 1,758.50 and 802.08

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Solution

The fourth proportional to 1,274.32, 1,758.50 and 802.08 is: 1,106.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.32 : 1,758.50 = 802.08 : x
  2. Step 2: Convert to fraction form
    1,274.32/1,758.50 = 802.08/x
  3. Step 3: Cross multiply
    1,274.32x = 1,758.50 × 802.08
  4. Step 4: Simplify right side
    1,274.32x = 1,410,457.68
  5. Step 5: Solve for x
    x = 1,410,457.68/1,274.32
  6. Step 6: Final answer
    x = 1,106.83

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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.