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Finding the Fourth Proportional to 1,307.55, 1,806.01 and 977.44

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Solution

The fourth proportional to 1,307.55, 1,806.01 and 977.44 is: 1,350.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.55 : 1,806.01 = 977.44 : x
  2. Step 2: Convert to fraction form
    1,307.55/1,806.01 = 977.44/x
  3. Step 3: Cross multiply
    1,307.55x = 1,806.01 × 977.44
  4. Step 4: Simplify right side
    1,307.55x = 1,765,268.34
  5. Step 5: Solve for x
    x = 1,765,268.34/1,307.55
  6. Step 6: Final answer
    x = 1,350.06

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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.