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Finding the Fourth Proportional to 1,064.21, 1,468.63 and 592.12

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Solution

The fourth proportional to 1,064.21, 1,468.63 and 592.12 is: 817.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.21 : 1,468.63 = 592.12 : x
  2. Step 2: Convert to fraction form
    1,064.21/1,468.63 = 592.12/x
  3. Step 3: Cross multiply
    1,064.21x = 1,468.63 × 592.12
  4. Step 4: Simplify right side
    1,064.21x = 869,599.51
  5. Step 5: Solve for x
    x = 869,599.51/1,064.21
  6. Step 6: Final answer
    x = 817.13

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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.