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Finding the Fourth Proportional to 946.80, 1,421.10 and 582.30

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Solution

The fourth proportional to 946.80, 1,421.10 and 582.30 is: 874.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.80 : 1,421.10 = 582.30 : x
  2. Step 2: Convert to fraction form
    946.80/1,421.10 = 582.30/x
  3. Step 3: Cross multiply
    946.80x = 1,421.10 × 582.30
  4. Step 4: Simplify right side
    946.80x = 827,506.53
  5. Step 5: Solve for x
    x = 827,506.53/946.80
  6. Step 6: Final answer
    x = 874.00

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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.