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Finding the Fourth Proportional to 1,055.61, 1,582.20 and 567.63

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Solution

The fourth proportional to 1,055.61, 1,582.20 and 567.63 is: 850.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.61 : 1,582.20 = 567.63 : x
  2. Step 2: Convert to fraction form
    1,055.61/1,582.20 = 567.63/x
  3. Step 3: Cross multiply
    1,055.61x = 1,582.20 × 567.63
  4. Step 4: Simplify right side
    1,055.61x = 898,106.24
  5. Step 5: Solve for x
    x = 898,106.24/1,055.61
  6. Step 6: Final answer
    x = 850.80

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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.