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Finding the Fourth Proportional to 1,328.59, 1,989.96 and 833.39

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Solution

The fourth proportional to 1,328.59, 1,989.96 and 833.39 is: 1,248.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.59 : 1,989.96 = 833.39 : x
  2. Step 2: Convert to fraction form
    1,328.59/1,989.96 = 833.39/x
  3. Step 3: Cross multiply
    1,328.59x = 1,989.96 × 833.39
  4. Step 4: Simplify right side
    1,328.59x = 1,658,412.76
  5. Step 5: Solve for x
    x = 1,658,412.76/1,328.59
  6. Step 6: Final answer
    x = 1,248.25

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1.5x scale

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.