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Finding the Fourth Proportional to 1,405.03, 1,938.93 and 775.58

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Solution

The fourth proportional to 1,405.03, 1,938.93 and 775.58 is: 1,070.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.03 : 1,938.93 = 775.58 : x
  2. Step 2: Convert to fraction form
    1,405.03/1,938.93 = 775.58/x
  3. Step 3: Cross multiply
    1,405.03x = 1,938.93 × 775.58
  4. Step 4: Simplify right side
    1,405.03x = 1,503,795.33
  5. Step 5: Solve for x
    x = 1,503,795.33/1,405.03
  6. Step 6: Final answer
    x = 1,070.29

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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.