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Finding the Fourth Proportional to 1,564.83, 2,346.90 and 469.28

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Solution

The fourth proportional to 1,564.83, 2,346.90 and 469.28 is: 703.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.83 : 2,346.90 = 469.28 : x
  2. Step 2: Convert to fraction form
    1,564.83/2,346.90 = 469.28/x
  3. Step 3: Cross multiply
    1,564.83x = 2,346.90 × 469.28
  4. Step 4: Simplify right side
    1,564.83x = 1,101,341.50
  5. Step 5: Solve for x
    x = 1,101,341.50/1,564.83
  6. Step 6: Final answer
    x = 703.81

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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.