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Finding the Fourth Proportional to 1,055.13, 1,582 and 568.53

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Solution

The fourth proportional to 1,055.13, 1,582 and 568.53 is: 852.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.13 : 1,582 = 568.53 : x
  2. Step 2: Convert to fraction form
    1,055.13/1,582 = 568.53/x
  3. Step 3: Cross multiply
    1,055.13x = 1,582 × 568.53
  4. Step 4: Simplify right side
    1,055.13x = 899,414.46
  5. Step 5: Solve for x
    x = 899,414.46/1,055.13
  6. Step 6: Final answer
    x = 852.42

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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.