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Finding the Fourth Proportional to 1,021.10, 1,530.47 and 582.59

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Solution

The fourth proportional to 1,021.10, 1,530.47 and 582.59 is: 873.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.10 : 1,530.47 = 582.59 : x
  2. Step 2: Convert to fraction form
    1,021.10/1,530.47 = 582.59/x
  3. Step 3: Cross multiply
    1,021.10x = 1,530.47 × 582.59
  4. Step 4: Simplify right side
    1,021.10x = 891,628.86
  5. Step 5: Solve for x
    x = 891,628.86/1,021.10
  6. Step 6: Final answer
    x = 873.21

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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.