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Finding the Fourth Proportional to 1,386.49, 2,076.69 and 898.06

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Solution

The fourth proportional to 1,386.49, 2,076.69 and 898.06 is: 1,345.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.49 : 2,076.69 = 898.06 : x
  2. Step 2: Convert to fraction form
    1,386.49/2,076.69 = 898.06/x
  3. Step 3: Cross multiply
    1,386.49x = 2,076.69 × 898.06
  4. Step 4: Simplify right side
    1,386.49x = 1,864,992.22
  5. Step 5: Solve for x
    x = 1,864,992.22/1,386.49
  6. Step 6: Final answer
    x = 1,345.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.