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Finding the Fourth Proportional to 1,052.07, 1,577.98 and 322.15

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Solution

The fourth proportional to 1,052.07, 1,577.98 and 322.15 is: 483.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.07 : 1,577.98 = 322.15 : x
  2. Step 2: Convert to fraction form
    1,052.07/1,577.98 = 322.15/x
  3. Step 3: Cross multiply
    1,052.07x = 1,577.98 × 322.15
  4. Step 4: Simplify right side
    1,052.07x = 508,346.26
  5. Step 5: Solve for x
    x = 508,346.26/1,052.07
  6. Step 6: Final answer
    x = 483.19

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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.