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Finding the Fourth Proportional to 1,170.95, 1,756.94 and 623.00

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Solution

The fourth proportional to 1,170.95, 1,756.94 and 623.00 is: 934.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.95 : 1,756.94 = 623.00 : x
  2. Step 2: Convert to fraction form
    1,170.95/1,756.94 = 623.00/x
  3. Step 3: Cross multiply
    1,170.95x = 1,756.94 × 623.00
  4. Step 4: Simplify right side
    1,170.95x = 1,094,561.72
  5. Step 5: Solve for x
    x = 1,094,561.72/1,170.95
  6. Step 6: Final answer
    x = 934.77

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