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Finding the Fourth Proportional to 1,707.95, 2,561.94 and 553.70

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Solution

The fourth proportional to 1,707.95, 2,561.94 and 553.70 is: 830.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,707.95 : 2,561.94 = 553.70 : x
  2. Step 2: Convert to fraction form
    1,707.95/2,561.94 = 553.70/x
  3. Step 3: Cross multiply
    1,707.95x = 2,561.94 × 553.70
  4. Step 4: Simplify right side
    1,707.95x = 1,418,533.37
  5. Step 5: Solve for x
    x = 1,418,533.37/1,707.95
  6. Step 6: Final answer
    x = 830.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.