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Finding the Fourth Proportional to 1,064.08, 1,468.44 and 592.01

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Solution

The fourth proportional to 1,064.08, 1,468.44 and 592.01 is: 816.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.08 : 1,468.44 = 592.01 : x
  2. Step 2: Convert to fraction form
    1,064.08/1,468.44 = 592.01/x
  3. Step 3: Cross multiply
    1,064.08x = 1,468.44 × 592.01
  4. Step 4: Simplify right side
    1,064.08x = 869,331.16
  5. Step 5: Solve for x
    x = 869,331.16/1,064.08
  6. Step 6: Final answer
    x = 816.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.