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Finding the Fourth Proportional to 1,553.34, 2,330.74 and 580.13

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Solution

The fourth proportional to 1,553.34, 2,330.74 and 580.13 is: 870.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,553.34 : 2,330.74 = 580.13 : x
  2. Step 2: Convert to fraction form
    1,553.34/2,330.74 = 580.13/x
  3. Step 3: Cross multiply
    1,553.34x = 2,330.74 × 580.13
  4. Step 4: Simplify right side
    1,553.34x = 1,352,130.01
  5. Step 5: Solve for x
    x = 1,352,130.01/1,553.34
  6. Step 6: Final answer
    x = 870.46

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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.