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Finding the Fourth Proportional to 1,312.42, 1,799.40 and 1,289.02

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Solution

The fourth proportional to 1,312.42, 1,799.40 and 1,289.02 is: 1,767.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.42 : 1,799.40 = 1,289.02 : x
  2. Step 2: Convert to fraction form
    1,312.42/1,799.40 = 1,289.02/x
  3. Step 3: Cross multiply
    1,312.42x = 1,799.40 × 1,289.02
  4. Step 4: Simplify right side
    1,312.42x = 2,319,462.59
  5. Step 5: Solve for x
    x = 2,319,462.59/1,312.42
  6. Step 6: Final answer
    x = 1,767.32

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.