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Finding the Fourth Proportional to 1,030.32, 1,421.87 and 582.21

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Solution

The fourth proportional to 1,030.32, 1,421.87 and 582.21 is: 803.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.32 : 1,421.87 = 582.21 : x
  2. Step 2: Convert to fraction form
    1,030.32/1,421.87 = 582.21/x
  3. Step 3: Cross multiply
    1,030.32x = 1,421.87 × 582.21
  4. Step 4: Simplify right side
    1,030.32x = 827,828.39
  5. Step 5: Solve for x
    x = 827,828.39/1,030.32
  6. Step 6: Final answer
    x = 803.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.