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Finding the Fourth Proportional to 705.84, 973.68 and 574.32

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Solution

The fourth proportional to 705.84, 973.68 and 574.32 is: 792.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.84 : 973.68 = 574.32 : x
  2. Step 2: Convert to fraction form
    705.84/973.68 = 574.32/x
  3. Step 3: Cross multiply
    705.84x = 973.68 × 574.32
  4. Step 4: Simplify right side
    705.84x = 559,203.90
  5. Step 5: Solve for x
    x = 559,203.90/705.84
  6. Step 6: Final answer
    x = 792.25

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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.