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Finding the Fourth Proportional to 1,437.92, 1,984.40 and 817.12

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Solution

The fourth proportional to 1,437.92, 1,984.40 and 817.12 is: 1,127.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.92 : 1,984.40 = 817.12 : x
  2. Step 2: Convert to fraction form
    1,437.92/1,984.40 = 817.12/x
  3. Step 3: Cross multiply
    1,437.92x = 1,984.40 × 817.12
  4. Step 4: Simplify right side
    1,437.92x = 1,621,492.93
  5. Step 5: Solve for x
    x = 1,621,492.93/1,437.92
  6. Step 6: Final answer
    x = 1,127.67

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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.