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Finding the Fourth Proportional to 1,150.23, 1,587.62 and 708.50

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Solution

The fourth proportional to 1,150.23, 1,587.62 and 708.50 is: 977.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.23 : 1,587.62 = 708.50 : x
  2. Step 2: Convert to fraction form
    1,150.23/1,587.62 = 708.50/x
  3. Step 3: Cross multiply
    1,150.23x = 1,587.62 × 708.50
  4. Step 4: Simplify right side
    1,150.23x = 1,124,825.90
  5. Step 5: Solve for x
    x = 1,124,825.90/1,150.23
  6. Step 6: Final answer
    x = 977.92

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