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Finding the Fourth Proportional to 1,054.07, 1,580.47 and 360.50

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Solution

The fourth proportional to 1,054.07, 1,580.47 and 360.50 is: 540.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.07 : 1,580.47 = 360.50 : x
  2. Step 2: Convert to fraction form
    1,054.07/1,580.47 = 360.50/x
  3. Step 3: Cross multiply
    1,054.07x = 1,580.47 × 360.50
  4. Step 4: Simplify right side
    1,054.07x = 569,762.48
  5. Step 5: Solve for x
    x = 569,762.48/1,054.07
  6. Step 6: Final answer
    x = 540.54

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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.