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Finding the Fourth Proportional to 1,047.49, 1,571.59 and 657.02

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Solution

The fourth proportional to 1,047.49, 1,571.59 and 657.02 is: 985.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.49 : 1,571.59 = 657.02 : x
  2. Step 2: Convert to fraction form
    1,047.49/1,571.59 = 657.02/x
  3. Step 3: Cross multiply
    1,047.49x = 1,571.59 × 657.02
  4. Step 4: Simplify right side
    1,047.49x = 1,032,564.92
  5. Step 5: Solve for x
    x = 1,032,564.92/1,047.49
  6. Step 6: Final answer
    x = 985.75

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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.