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Finding the Fourth Proportional to 1,130.20, 1,693.95 and 582.10

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Solution

The fourth proportional to 1,130.20, 1,693.95 and 582.10 is: 872.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.20 : 1,693.95 = 582.10 : x
  2. Step 2: Convert to fraction form
    1,130.20/1,693.95 = 582.10/x
  3. Step 3: Cross multiply
    1,130.20x = 1,693.95 × 582.10
  4. Step 4: Simplify right side
    1,130.20x = 986,048.30
  5. Step 5: Solve for x
    x = 986,048.30/1,130.20
  6. Step 6: Final answer
    x = 872.45

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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.