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Finding the Fourth Proportional to 1,053.84, 1,580.34 and 505.64

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Solution

The fourth proportional to 1,053.84, 1,580.34 and 505.64 is: 758.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.84 : 1,580.34 = 505.64 : x
  2. Step 2: Convert to fraction form
    1,053.84/1,580.34 = 505.64/x
  3. Step 3: Cross multiply
    1,053.84x = 1,580.34 × 505.64
  4. Step 4: Simplify right side
    1,053.84x = 799,083.12
  5. Step 5: Solve for x
    x = 799,083.12/1,053.84
  6. Step 6: Final answer
    x = 758.26

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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.