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Finding the Fourth Proportional to 1,102.02, 1,653.35 and 582.10

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Solution

The fourth proportional to 1,102.02, 1,653.35 and 582.10 is: 873.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.02 : 1,653.35 = 582.10 : x
  2. Step 2: Convert to fraction form
    1,102.02/1,653.35 = 582.10/x
  3. Step 3: Cross multiply
    1,102.02x = 1,653.35 × 582.10
  4. Step 4: Simplify right side
    1,102.02x = 962,415.04
  5. Step 5: Solve for x
    x = 962,415.04/1,102.02
  6. Step 6: Final answer
    x = 873.32

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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.