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Finding the Fourth Proportional to 1,130.39, 1,684.25 and 1,007.63

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Solution

The fourth proportional to 1,130.39, 1,684.25 and 1,007.63 is: 1,501.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.39 : 1,684.25 = 1,007.63 : x
  2. Step 2: Convert to fraction form
    1,130.39/1,684.25 = 1,007.63/x
  3. Step 3: Cross multiply
    1,130.39x = 1,684.25 × 1,007.63
  4. Step 4: Simplify right side
    1,130.39x = 1,697,087.37
  5. Step 5: Solve for x
    x = 1,697,087.37/1,130.39
  6. Step 6: Final answer
    x = 1,501.34

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.