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Finding the Fourth Proportional to 1,162.16, 1,602.34 and 830.46

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Solution

The fourth proportional to 1,162.16, 1,602.34 and 830.46 is: 1,145.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.16 : 1,602.34 = 830.46 : x
  2. Step 2: Convert to fraction form
    1,162.16/1,602.34 = 830.46/x
  3. Step 3: Cross multiply
    1,162.16x = 1,602.34 × 830.46
  4. Step 4: Simplify right side
    1,162.16x = 1,330,677.20
  5. Step 5: Solve for x
    x = 1,330,677.20/1,162.16
  6. Step 6: Final answer
    x = 1,145.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.