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Finding the Fourth Proportional to 1,054.30, 1,580.67 and 534.06

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Solution

The fourth proportional to 1,054.30, 1,580.67 and 534.06 is: 800.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.30 : 1,580.67 = 534.06 : x
  2. Step 2: Convert to fraction form
    1,054.30/1,580.67 = 534.06/x
  3. Step 3: Cross multiply
    1,054.30x = 1,580.67 × 534.06
  4. Step 4: Simplify right side
    1,054.30x = 844,172.62
  5. Step 5: Solve for x
    x = 844,172.62/1,054.30
  6. Step 6: Final answer
    x = 800.69

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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.