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Finding the Fourth Proportional to 918.75, 1,267.65 and 525.63

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Solution

The fourth proportional to 918.75, 1,267.65 and 525.63 is: 725.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.75 : 1,267.65 = 525.63 : x
  2. Step 2: Convert to fraction form
    918.75/1,267.65 = 525.63/x
  3. Step 3: Cross multiply
    918.75x = 1,267.65 × 525.63
  4. Step 4: Simplify right side
    918.75x = 666,314.87
  5. Step 5: Solve for x
    x = 666,314.87/918.75
  6. Step 6: Final answer
    x = 725.24

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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.