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Finding the Fourth Proportional to 1,564.69, 2,346.40 and 577.28

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Solution

The fourth proportional to 1,564.69, 2,346.40 and 577.28 is: 865.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.69 : 2,346.40 = 577.28 : x
  2. Step 2: Convert to fraction form
    1,564.69/2,346.40 = 577.28/x
  3. Step 3: Cross multiply
    1,564.69x = 2,346.40 × 577.28
  4. Step 4: Simplify right side
    1,564.69x = 1,354,516.62
  5. Step 5: Solve for x
    x = 1,354,516.62/1,564.69
  6. Step 6: Final answer
    x = 865.68

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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.