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Finding the Fourth Proportional to 1,298.70, 1,945.53 and 649.98

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Solution

The fourth proportional to 1,298.70, 1,945.53 and 649.98 is: 973.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.70 : 1,945.53 = 649.98 : x
  2. Step 2: Convert to fraction form
    1,298.70/1,945.53 = 649.98/x
  3. Step 3: Cross multiply
    1,298.70x = 1,945.53 × 649.98
  4. Step 4: Simplify right side
    1,298.70x = 1,264,555.59
  5. Step 5: Solve for x
    x = 1,264,555.59/1,298.70
  6. Step 6: Final answer
    x = 973.71

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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.