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Finding the Fourth Proportional to 1,152.34, 1,725.27 and 877.30

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Solution

The fourth proportional to 1,152.34, 1,725.27 and 877.30 is: 1,313.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.34 : 1,725.27 = 877.30 : x
  2. Step 2: Convert to fraction form
    1,152.34/1,725.27 = 877.30/x
  3. Step 3: Cross multiply
    1,152.34x = 1,725.27 × 877.30
  4. Step 4: Simplify right side
    1,152.34x = 1,513,579.37
  5. Step 5: Solve for x
    x = 1,513,579.37/1,152.34
  6. Step 6: Final answer
    x = 1,313.48

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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.