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Finding the Fourth Proportional to 1,151.04, 1,586.58 and 902

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Solution

The fourth proportional to 1,151.04, 1,586.58 and 902 is: 1,243.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.04 : 1,586.58 = 902 : x
  2. Step 2: Convert to fraction form
    1,151.04/1,586.58 = 902/x
  3. Step 3: Cross multiply
    1,151.04x = 1,586.58 × 902
  4. Step 4: Simplify right side
    1,151.04x = 1,431,095.16
  5. Step 5: Solve for x
    x = 1,431,095.16/1,151.04
  6. Step 6: Final answer
    x = 1,243.31

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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.