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Finding the Fourth Proportional to 1,154.56, 1,592.31 and 975.97

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Solution

The fourth proportional to 1,154.56, 1,592.31 and 975.97 is: 1,346.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.56 : 1,592.31 = 975.97 : x
  2. Step 2: Convert to fraction form
    1,154.56/1,592.31 = 975.97/x
  3. Step 3: Cross multiply
    1,154.56x = 1,592.31 × 975.97
  4. Step 4: Simplify right side
    1,154.56x = 1,554,041.14
  5. Step 5: Solve for x
    x = 1,554,041.14/1,154.56
  6. Step 6: Final answer
    x = 1,346.00

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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.