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Finding the Fourth Proportional to 1,118.61, 1,543.29 and 692.90

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Solution

The fourth proportional to 1,118.61, 1,543.29 and 692.90 is: 955.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.61 : 1,543.29 = 692.90 : x
  2. Step 2: Convert to fraction form
    1,118.61/1,543.29 = 692.90/x
  3. Step 3: Cross multiply
    1,118.61x = 1,543.29 × 692.90
  4. Step 4: Simplify right side
    1,118.61x = 1,069,342.18
  5. Step 5: Solve for x
    x = 1,069,342.18/1,118.61
  6. Step 6: Final answer
    x = 955.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.