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Finding the Fourth Proportional to 1,054.30, 1,580.92 and 615.71

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Solution

The fourth proportional to 1,054.30, 1,580.92 and 615.71 is: 923.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.30 : 1,580.92 = 615.71 : x
  2. Step 2: Convert to fraction form
    1,054.30/1,580.92 = 615.71/x
  3. Step 3: Cross multiply
    1,054.30x = 1,580.92 × 615.71
  4. Step 4: Simplify right side
    1,054.30x = 973,388.25
  5. Step 5: Solve for x
    x = 973,388.25/1,054.30
  6. Step 6: Final answer
    x = 923.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.