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Finding the Fourth Proportional to 1,564.86, 2,347.32 and 410.64

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Solution

The fourth proportional to 1,564.86, 2,347.32 and 410.64 is: 615.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.86 : 2,347.32 = 410.64 : x
  2. Step 2: Convert to fraction form
    1,564.86/2,347.32 = 410.64/x
  3. Step 3: Cross multiply
    1,564.86x = 2,347.32 × 410.64
  4. Step 4: Simplify right side
    1,564.86x = 963,903.48
  5. Step 5: Solve for x
    x = 963,903.48/1,564.86
  6. Step 6: Final answer
    x = 615.97

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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.