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Finding the Fourth Proportional to 1,154.06, 1,592.35 and 675.42

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Solution

The fourth proportional to 1,154.06, 1,592.35 and 675.42 is: 931.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.06 : 1,592.35 = 675.42 : x
  2. Step 2: Convert to fraction form
    1,154.06/1,592.35 = 675.42/x
  3. Step 3: Cross multiply
    1,154.06x = 1,592.35 × 675.42
  4. Step 4: Simplify right side
    1,154.06x = 1,075,505.04
  5. Step 5: Solve for x
    x = 1,075,505.04/1,154.06
  6. Step 6: Final answer
    x = 931.93

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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.