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Finding the Fourth Proportional to 1,564.98, 2,347.38 and 469.32

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Solution

The fourth proportional to 1,564.98, 2,347.38 and 469.32 is: 703.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.98 : 2,347.38 = 469.32 : x
  2. Step 2: Convert to fraction form
    1,564.98/2,347.38 = 469.32/x
  3. Step 3: Cross multiply
    1,564.98x = 2,347.38 × 469.32
  4. Step 4: Simplify right side
    1,564.98x = 1,101,672.38
  5. Step 5: Solve for x
    x = 1,101,672.38/1,564.98
  6. Step 6: Final answer
    x = 703.95

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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.