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Finding the Fourth Proportional to 1,159.96, 1,740.76 and 852.62

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Solution

The fourth proportional to 1,159.96, 1,740.76 and 852.62 is: 1,279.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.96 : 1,740.76 = 852.62 : x
  2. Step 2: Convert to fraction form
    1,159.96/1,740.76 = 852.62/x
  3. Step 3: Cross multiply
    1,159.96x = 1,740.76 × 852.62
  4. Step 4: Simplify right side
    1,159.96x = 1,484,206.79
  5. Step 5: Solve for x
    x = 1,484,206.79/1,159.96
  6. Step 6: Final answer
    x = 1,279.53

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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.