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Finding the Fourth Proportional to 1,056.98, 1,585.48 and 364.44

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Solution

The fourth proportional to 1,056.98, 1,585.48 and 364.44 is: 546.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.98 : 1,585.48 = 364.44 : x
  2. Step 2: Convert to fraction form
    1,056.98/1,585.48 = 364.44/x
  3. Step 3: Cross multiply
    1,056.98x = 1,585.48 × 364.44
  4. Step 4: Simplify right side
    1,056.98x = 577,812.33
  5. Step 5: Solve for x
    x = 577,812.33/1,056.98
  6. Step 6: Final answer
    x = 546.66

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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.