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Finding the Fourth Proportional to 1,230.71, 1,846.01 and 500.30

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Solution

The fourth proportional to 1,230.71, 1,846.01 and 500.30 is: 750.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.71 : 1,846.01 = 500.30 : x
  2. Step 2: Convert to fraction form
    1,230.71/1,846.01 = 500.30/x
  3. Step 3: Cross multiply
    1,230.71x = 1,846.01 × 500.30
  4. Step 4: Simplify right side
    1,230.71x = 923,547.07
  5. Step 5: Solve for x
    x = 923,547.07/1,230.71
  6. Step 6: Final answer
    x = 750.42

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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.