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Finding the Fourth Proportional to 1,510.96, 2,085.07 and 847.85

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Solution

The fourth proportional to 1,510.96, 2,085.07 and 847.85 is: 1,170.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.96 : 2,085.07 = 847.85 : x
  2. Step 2: Convert to fraction form
    1,510.96/2,085.07 = 847.85/x
  3. Step 3: Cross multiply
    1,510.96x = 2,085.07 × 847.85
  4. Step 4: Simplify right side
    1,510.96x = 1,767,826.60
  5. Step 5: Solve for x
    x = 1,767,826.60/1,510.96
  6. Step 6: Final answer
    x = 1,170.00

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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.