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Finding the Fourth Proportional to 991.98, 1,488.84 and 530.13

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Solution

The fourth proportional to 991.98, 1,488.84 and 530.13 is: 795.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.98 : 1,488.84 = 530.13 : x
  2. Step 2: Convert to fraction form
    991.98/1,488.84 = 530.13/x
  3. Step 3: Cross multiply
    991.98x = 1,488.84 × 530.13
  4. Step 4: Simplify right side
    991.98x = 789,278.75
  5. Step 5: Solve for x
    x = 789,278.75/991.98
  6. Step 6: Final answer
    x = 795.66

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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.