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Finding the Fourth Proportional to 1,056.37, 1,585.16 and 569.41

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Solution

The fourth proportional to 1,056.37, 1,585.16 and 569.41 is: 854.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.37 : 1,585.16 = 569.41 : x
  2. Step 2: Convert to fraction form
    1,056.37/1,585.16 = 569.41/x
  3. Step 3: Cross multiply
    1,056.37x = 1,585.16 × 569.41
  4. Step 4: Simplify right side
    1,056.37x = 902,605.96
  5. Step 5: Solve for x
    x = 902,605.96/1,056.37
  6. Step 6: Final answer
    x = 854.44

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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.