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Finding the Fourth Proportional to 1,156.23, 1,733.76 and 607.05

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Solution

The fourth proportional to 1,156.23, 1,733.76 and 607.05 is: 910.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.23 : 1,733.76 = 607.05 : x
  2. Step 2: Convert to fraction form
    1,156.23/1,733.76 = 607.05/x
  3. Step 3: Cross multiply
    1,156.23x = 1,733.76 × 607.05
  4. Step 4: Simplify right side
    1,156.23x = 1,052,479.01
  5. Step 5: Solve for x
    x = 1,052,479.01/1,156.23
  6. Step 6: Final answer
    x = 910.27

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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.