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Finding the Fourth Proportional to 1,313.64, 1,969.74 and 572.95

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Solution

The fourth proportional to 1,313.64, 1,969.74 and 572.95 is: 859.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.64 : 1,969.74 = 572.95 : x
  2. Step 2: Convert to fraction form
    1,313.64/1,969.74 = 572.95/x
  3. Step 3: Cross multiply
    1,313.64x = 1,969.74 × 572.95
  4. Step 4: Simplify right side
    1,313.64x = 1,128,561.07
  5. Step 5: Solve for x
    x = 1,128,561.07/1,313.64
  6. Step 6: Final answer
    x = 859.11

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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.