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Finding the Fourth Proportional to 1,564.34, 2,346.78 and 468.77

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Solution

The fourth proportional to 1,564.34, 2,346.78 and 468.77 is: 703.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.34 : 2,346.78 = 468.77 : x
  2. Step 2: Convert to fraction form
    1,564.34/2,346.78 = 468.77/x
  3. Step 3: Cross multiply
    1,564.34x = 2,346.78 × 468.77
  4. Step 4: Simplify right side
    1,564.34x = 1,100,100.06
  5. Step 5: Solve for x
    x = 1,100,100.06/1,564.34
  6. Step 6: Final answer
    x = 703.24

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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.