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Finding the Fourth Proportional to 664.32, 914.76 and 570.93

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Solution

The fourth proportional to 664.32, 914.76 and 570.93 is: 786.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.32 : 914.76 = 570.93 : x
  2. Step 2: Convert to fraction form
    664.32/914.76 = 570.93/x
  3. Step 3: Cross multiply
    664.32x = 914.76 × 570.93
  4. Step 4: Simplify right side
    664.32x = 522,263.93
  5. Step 5: Solve for x
    x = 522,263.93/664.32
  6. Step 6: Final answer
    x = 786.16

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