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Finding the Fourth Proportional to 1,430.34, 2,143.57 and 649.37

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Solution

The fourth proportional to 1,430.34, 2,143.57 and 649.37 is: 973.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.34 : 2,143.57 = 649.37 : x
  2. Step 2: Convert to fraction form
    1,430.34/2,143.57 = 649.37/x
  3. Step 3: Cross multiply
    1,430.34x = 2,143.57 × 649.37
  4. Step 4: Simplify right side
    1,430.34x = 1,391,970.05
  5. Step 5: Solve for x
    x = 1,391,970.05/1,430.34
  6. Step 6: Final answer
    x = 973.17

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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.