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Finding the Fourth Proportional to 1,046.75, 1,569.49 and 525.56

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Solution

The fourth proportional to 1,046.75, 1,569.49 and 525.56 is: 788.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.75 : 1,569.49 = 525.56 : x
  2. Step 2: Convert to fraction form
    1,046.75/1,569.49 = 525.56/x
  3. Step 3: Cross multiply
    1,046.75x = 1,569.49 × 525.56
  4. Step 4: Simplify right side
    1,046.75x = 824,852.00
  5. Step 5: Solve for x
    x = 824,852.00/1,046.75
  6. Step 6: Final answer
    x = 788.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.