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Finding the Fourth Proportional to 970.94, 1,449.38 and 898.68

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Solution

The fourth proportional to 970.94, 1,449.38 and 898.68 is: 1,341.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.94 : 1,449.38 = 898.68 : x
  2. Step 2: Convert to fraction form
    970.94/1,449.38 = 898.68/x
  3. Step 3: Cross multiply
    970.94x = 1,449.38 × 898.68
  4. Step 4: Simplify right side
    970.94x = 1,302,528.82
  5. Step 5: Solve for x
    x = 1,302,528.82/970.94
  6. Step 6: Final answer
    x = 1,341.51

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Why These Related Problems?

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