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Finding the Fourth Proportional to 1,056.62, 1,456.40 and 846.42

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Solution

The fourth proportional to 1,056.62, 1,456.40 and 846.42 is: 1,166.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.62 : 1,456.40 = 846.42 : x
  2. Step 2: Convert to fraction form
    1,056.62/1,456.40 = 846.42/x
  3. Step 3: Cross multiply
    1,056.62x = 1,456.40 × 846.42
  4. Step 4: Simplify right side
    1,056.62x = 1,232,721.86
  5. Step 5: Solve for x
    x = 1,232,721.86/1,056.62
  6. Step 6: Final answer
    x = 1,166.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.