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Finding the Fourth Proportional to 1,055.58, 1,582.38 and 568.68

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Solution

The fourth proportional to 1,055.58, 1,582.38 and 568.68 is: 852.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.58 : 1,582.38 = 568.68 : x
  2. Step 2: Convert to fraction form
    1,055.58/1,582.38 = 568.68/x
  3. Step 3: Cross multiply
    1,055.58x = 1,582.38 × 568.68
  4. Step 4: Simplify right side
    1,055.58x = 899,867.86
  5. Step 5: Solve for x
    x = 899,867.86/1,055.58
  6. Step 6: Final answer
    x = 852.49

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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.