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Finding the Fourth Proportional to 1,032.50, 1,424.94 and 566.84

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Solution

The fourth proportional to 1,032.50, 1,424.94 and 566.84 is: 782.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.50 : 1,424.94 = 566.84 : x
  2. Step 2: Convert to fraction form
    1,032.50/1,424.94 = 566.84/x
  3. Step 3: Cross multiply
    1,032.50x = 1,424.94 × 566.84
  4. Step 4: Simplify right side
    1,032.50x = 807,712.99
  5. Step 5: Solve for x
    x = 807,712.99/1,032.50
  6. Step 6: Final answer
    x = 782.29

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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.