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Finding the Fourth Proportional to 1,132.07, 1,695.05 and 784.67

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Solution

The fourth proportional to 1,132.07, 1,695.05 and 784.67 is: 1,174.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.07 : 1,695.05 = 784.67 : x
  2. Step 2: Convert to fraction form
    1,132.07/1,695.05 = 784.67/x
  3. Step 3: Cross multiply
    1,132.07x = 1,695.05 × 784.67
  4. Step 4: Simplify right side
    1,132.07x = 1,330,050.96
  5. Step 5: Solve for x
    x = 1,330,050.96/1,132.07
  6. Step 6: Final answer
    x = 1,174.88

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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.