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Finding the Fourth Proportional to 1,150.31, 1,586.85 and 707.51

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Solution

The fourth proportional to 1,150.31, 1,586.85 and 707.51 is: 976.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.31 : 1,586.85 = 707.51 : x
  2. Step 2: Convert to fraction form
    1,150.31/1,586.85 = 707.51/x
  3. Step 3: Cross multiply
    1,150.31x = 1,586.85 × 707.51
  4. Step 4: Simplify right side
    1,150.31x = 1,122,712.24
  5. Step 5: Solve for x
    x = 1,122,712.24/1,150.31
  6. Step 6: Final answer
    x = 976.01

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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.