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Finding the Fourth Proportional to 1,569.86, 2,353.42 and 646.19

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Solution

The fourth proportional to 1,569.86, 2,353.42 and 646.19 is: 968.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.86 : 2,353.42 = 646.19 : x
  2. Step 2: Convert to fraction form
    1,569.86/2,353.42 = 646.19/x
  3. Step 3: Cross multiply
    1,569.86x = 2,353.42 × 646.19
  4. Step 4: Simplify right side
    1,569.86x = 1,520,754.92
  5. Step 5: Solve for x
    x = 1,520,754.92/1,569.86
  6. Step 6: Final answer
    x = 968.72

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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.