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Finding the Fourth Proportional to 1,177.48, 1,765.86 and 715.24

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Solution

The fourth proportional to 1,177.48, 1,765.86 and 715.24 is: 1,072.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.48 : 1,765.86 = 715.24 : x
  2. Step 2: Convert to fraction form
    1,177.48/1,765.86 = 715.24/x
  3. Step 3: Cross multiply
    1,177.48x = 1,765.86 × 715.24
  4. Step 4: Simplify right side
    1,177.48x = 1,263,013.71
  5. Step 5: Solve for x
    x = 1,263,013.71/1,177.48
  6. Step 6: Final answer
    x = 1,072.64

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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.