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Finding the Fourth Proportional to 1,510.79, 2,084.99 and 847.67

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Solution

The fourth proportional to 1,510.79, 2,084.99 and 847.67 is: 1,169.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.79 : 2,084.99 = 847.67 : x
  2. Step 2: Convert to fraction form
    1,510.79/2,084.99 = 847.67/x
  3. Step 3: Cross multiply
    1,510.79x = 2,084.99 × 847.67
  4. Step 4: Simplify right side
    1,510.79x = 1,767,368.81
  5. Step 5: Solve for x
    x = 1,767,368.81/1,510.79
  6. Step 6: Final answer
    x = 1,169.83

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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.