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Finding the Fourth Proportional to 1,160.84, 1,602.70 and 1,036.28

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Solution

The fourth proportional to 1,160.84, 1,602.70 and 1,036.28 is: 1,430.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.84 : 1,602.70 = 1,036.28 : x
  2. Step 2: Convert to fraction form
    1,160.84/1,602.70 = 1,036.28/x
  3. Step 3: Cross multiply
    1,160.84x = 1,602.70 × 1,036.28
  4. Step 4: Simplify right side
    1,160.84x = 1,660,847.37
  5. Step 5: Solve for x
    x = 1,660,847.37/1,160.84
  6. Step 6: Final answer
    x = 1,430.74

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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.