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Finding the Fourth Proportional to 900.19, 1,242.52 and 546.15

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Solution

The fourth proportional to 900.19, 1,242.52 and 546.15 is: 753.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.19 : 1,242.52 = 546.15 : x
  2. Step 2: Convert to fraction form
    900.19/1,242.52 = 546.15/x
  3. Step 3: Cross multiply
    900.19x = 1,242.52 × 546.15
  4. Step 4: Simplify right side
    900.19x = 678,602.30
  5. Step 5: Solve for x
    x = 678,602.30/900.19
  6. Step 6: Final answer
    x = 753.84

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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.