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Finding the Fourth Proportional to 1,564.70, 2,347.52 and 469.10

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Solution

The fourth proportional to 1,564.70, 2,347.52 and 469.10 is: 703.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.70 : 2,347.52 = 469.10 : x
  2. Step 2: Convert to fraction form
    1,564.70/2,347.52 = 469.10/x
  3. Step 3: Cross multiply
    1,564.70x = 2,347.52 × 469.10
  4. Step 4: Simplify right side
    1,564.70x = 1,101,221.63
  5. Step 5: Solve for x
    x = 1,101,221.63/1,564.70
  6. Step 6: Final answer
    x = 703.79

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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.