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Finding the Fourth Proportional to 1,140.18, 1,710.75 and 482.22

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Solution

The fourth proportional to 1,140.18, 1,710.75 and 482.22 is: 723.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.18 : 1,710.75 = 482.22 : x
  2. Step 2: Convert to fraction form
    1,140.18/1,710.75 = 482.22/x
  3. Step 3: Cross multiply
    1,140.18x = 1,710.75 × 482.22
  4. Step 4: Simplify right side
    1,140.18x = 824,957.87
  5. Step 5: Solve for x
    x = 824,957.87/1,140.18
  6. Step 6: Final answer
    x = 723.53

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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.