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Finding the Fourth Proportional to 1,307.58, 1,806.39 and 1,029.66

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Solution

The fourth proportional to 1,307.58, 1,806.39 and 1,029.66 is: 1,422.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.58 : 1,806.39 = 1,029.66 : x
  2. Step 2: Convert to fraction form
    1,307.58/1,806.39 = 1,029.66/x
  3. Step 3: Cross multiply
    1,307.58x = 1,806.39 × 1,029.66
  4. Step 4: Simplify right side
    1,307.58x = 1,859,967.53
  5. Step 5: Solve for x
    x = 1,859,967.53/1,307.58
  6. Step 6: Final answer
    x = 1,422.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.