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Finding the Fourth Proportional to 1,177.19, 1,624.02 and 784.34

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Solution

The fourth proportional to 1,177.19, 1,624.02 and 784.34 is: 1,082.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.19 : 1,624.02 = 784.34 : x
  2. Step 2: Convert to fraction form
    1,177.19/1,624.02 = 784.34/x
  3. Step 3: Cross multiply
    1,177.19x = 1,624.02 × 784.34
  4. Step 4: Simplify right side
    1,177.19x = 1,273,783.85
  5. Step 5: Solve for x
    x = 1,273,783.85/1,177.19
  6. Step 6: Final answer
    x = 1,082.05

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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.