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Finding the Fourth Proportional to 1,316.58, 1,816.85 and 719.07

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Solution

The fourth proportional to 1,316.58, 1,816.85 and 719.07 is: 992.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.58 : 1,816.85 = 719.07 : x
  2. Step 2: Convert to fraction form
    1,316.58/1,816.85 = 719.07/x
  3. Step 3: Cross multiply
    1,316.58x = 1,816.85 × 719.07
  4. Step 4: Simplify right side
    1,316.58x = 1,306,438.73
  5. Step 5: Solve for x
    x = 1,306,438.73/1,316.58
  6. Step 6: Final answer
    x = 992.30

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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.