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Finding the Fourth Proportional to 1,458.63, 2,012.07 and 898.99

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Solution

The fourth proportional to 1,458.63, 2,012.07 and 898.99 is: 1,240.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,458.63 : 2,012.07 = 898.99 : x
  2. Step 2: Convert to fraction form
    1,458.63/2,012.07 = 898.99/x
  3. Step 3: Cross multiply
    1,458.63x = 2,012.07 × 898.99
  4. Step 4: Simplify right side
    1,458.63x = 1,808,830.81
  5. Step 5: Solve for x
    x = 1,808,830.81/1,458.63
  6. Step 6: Final answer
    x = 1,240.09

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Why These Related Problems?

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