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Finding the Fourth Proportional to 946.68, 1,416.42 and 570.02

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Solution

The fourth proportional to 946.68, 1,416.42 and 570.02 is: 852.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.68 : 1,416.42 = 570.02 : x
  2. Step 2: Convert to fraction form
    946.68/1,416.42 = 570.02/x
  3. Step 3: Cross multiply
    946.68x = 1,416.42 × 570.02
  4. Step 4: Simplify right side
    946.68x = 807,387.73
  5. Step 5: Solve for x
    x = 807,387.73/946.68
  6. Step 6: Final answer
    x = 852.86

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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.