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Finding the Fourth Proportional to 1,064, 1,596 and 456

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Solution

The fourth proportional to 1,064, 1,596 and 456 is: 684

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064 : 1,596 = 456 : x
  2. Step 2: Convert to fraction form
    1,064/1,596 = 456/x
  3. Step 3: Cross multiply
    1,064x = 1,596 × 456
  4. Step 4: Simplify right side
    1,064x = 727,776
  5. Step 5: Solve for x
    x = 727,776/1,064
  6. Step 6: Final answer
    x = 684

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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.