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Finding the Fourth Proportional to 1,564.59, 2,346.92 and 410.34

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Solution

The fourth proportional to 1,564.59, 2,346.92 and 410.34 is: 615.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.59 : 2,346.92 = 410.34 : x
  2. Step 2: Convert to fraction form
    1,564.59/2,346.92 = 410.34/x
  3. Step 3: Cross multiply
    1,564.59x = 2,346.92 × 410.34
  4. Step 4: Simplify right side
    1,564.59x = 963,033.10
  5. Step 5: Solve for x
    x = 963,033.10/1,564.59
  6. Step 6: Final answer
    x = 615.52

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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.