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Finding the Fourth Proportional to 1,313.58, 1,970.76 and 898.80

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Solution

The fourth proportional to 1,313.58, 1,970.76 and 898.80 is: 1,348.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.58 : 1,970.76 = 898.80 : x
  2. Step 2: Convert to fraction form
    1,313.58/1,970.76 = 898.80/x
  3. Step 3: Cross multiply
    1,313.58x = 1,970.76 × 898.80
  4. Step 4: Simplify right side
    1,313.58x = 1,771,319.09
  5. Step 5: Solve for x
    x = 1,771,319.09/1,313.58
  6. Step 6: Final answer
    x = 1,348.47

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1.5x scale

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.