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Finding the Fourth Proportional to 1,088.84, 1,502.24 and 668.76

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Solution

The fourth proportional to 1,088.84, 1,502.24 and 668.76 is: 922.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.84 : 1,502.24 = 668.76 : x
  2. Step 2: Convert to fraction form
    1,088.84/1,502.24 = 668.76/x
  3. Step 3: Cross multiply
    1,088.84x = 1,502.24 × 668.76
  4. Step 4: Simplify right side
    1,088.84x = 1,004,638.02
  5. Step 5: Solve for x
    x = 1,004,638.02/1,088.84
  6. Step 6: Final answer
    x = 922.67

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Half scale
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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.