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Finding the Fourth Proportional to 1,313.61, 1,811.98 and 782.14

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Solution

The fourth proportional to 1,313.61, 1,811.98 and 782.14 is: 1,078.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.61 : 1,811.98 = 782.14 : x
  2. Step 2: Convert to fraction form
    1,313.61/1,811.98 = 782.14/x
  3. Step 3: Cross multiply
    1,313.61x = 1,811.98 × 782.14
  4. Step 4: Simplify right side
    1,313.61x = 1,417,222.04
  5. Step 5: Solve for x
    x = 1,417,222.04/1,313.61
  6. Step 6: Final answer
    x = 1,078.88

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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.