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Finding the Fourth Proportional to 1,088.87, 1,502.67 and 591.54

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Solution

The fourth proportional to 1,088.87, 1,502.67 and 591.54 is: 816.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.87 : 1,502.67 = 591.54 : x
  2. Step 2: Convert to fraction form
    1,088.87/1,502.67 = 591.54/x
  3. Step 3: Cross multiply
    1,088.87x = 1,502.67 × 591.54
  4. Step 4: Simplify right side
    1,088.87x = 888,889.41
  5. Step 5: Solve for x
    x = 888,889.41/1,088.87
  6. Step 6: Final answer
    x = 816.34

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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.