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Finding the Fourth Proportional to 1,307.05, 1,806.60 and 1,148.50

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Solution

The fourth proportional to 1,307.05, 1,806.60 and 1,148.50 is: 1,587.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.05 : 1,806.60 = 1,148.50 : x
  2. Step 2: Convert to fraction form
    1,307.05/1,806.60 = 1,148.50/x
  3. Step 3: Cross multiply
    1,307.05x = 1,806.60 × 1,148.50
  4. Step 4: Simplify right side
    1,307.05x = 2,074,876.50
  5. Step 5: Solve for x
    x = 2,074,876.50/1,307.05
  6. Step 6: Final answer
    x = 1,587.45

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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.