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Finding the Fourth Proportional to 1,564.58, 2,347.32 and 468.98

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Solution

The fourth proportional to 1,564.58, 2,347.32 and 468.98 is: 703.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.58 : 2,347.32 = 468.98 : x
  2. Step 2: Convert to fraction form
    1,564.58/2,347.32 = 468.98/x
  3. Step 3: Cross multiply
    1,564.58x = 2,347.32 × 468.98
  4. Step 4: Simplify right side
    1,564.58x = 1,100,846.13
  5. Step 5: Solve for x
    x = 1,100,846.13/1,564.58
  6. Step 6: Final answer
    x = 703.60

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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.