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Finding the Fourth Proportional to 1,456.31, 2,182.51 and 530.99

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Solution

The fourth proportional to 1,456.31, 2,182.51 and 530.99 is: 795.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.31 : 2,182.51 = 530.99 : x
  2. Step 2: Convert to fraction form
    1,456.31/2,182.51 = 530.99/x
  3. Step 3: Cross multiply
    1,456.31x = 2,182.51 × 530.99
  4. Step 4: Simplify right side
    1,456.31x = 1,158,897.10
  5. Step 5: Solve for x
    x = 1,158,897.10/1,456.31
  6. Step 6: Final answer
    x = 795.78

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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.