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Finding the Fourth Proportional to 1,046.67, 1,570.25 and 525.37

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Solution

The fourth proportional to 1,046.67, 1,570.25 and 525.37 is: 788.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.67 : 1,570.25 = 525.37 : x
  2. Step 2: Convert to fraction form
    1,046.67/1,570.25 = 525.37/x
  3. Step 3: Cross multiply
    1,046.67x = 1,570.25 × 525.37
  4. Step 4: Simplify right side
    1,046.67x = 824,962.24
  5. Step 5: Solve for x
    x = 824,962.24/1,046.67
  6. Step 6: Final answer
    x = 788.18

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Why These Related Problems?

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