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Finding the Fourth Proportional to 1,395.84, 2,095.20 and 703.04

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Solution

The fourth proportional to 1,395.84, 2,095.20 and 703.04 is: 1,055.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,395.84 : 2,095.20 = 703.04 : x
  2. Step 2: Convert to fraction form
    1,395.84/2,095.20 = 703.04/x
  3. Step 3: Cross multiply
    1,395.84x = 2,095.20 × 703.04
  4. Step 4: Simplify right side
    1,395.84x = 1,473,009.41
  5. Step 5: Solve for x
    x = 1,473,009.41/1,395.84
  6. Step 6: Final answer
    x = 1,055.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.