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Finding the Fourth Proportional to 1,018.10, 1,527.35 and 368.88

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Solution

The fourth proportional to 1,018.10, 1,527.35 and 368.88 is: 553.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.10 : 1,527.35 = 368.88 : x
  2. Step 2: Convert to fraction form
    1,018.10/1,527.35 = 368.88/x
  3. Step 3: Cross multiply
    1,018.10x = 1,527.35 × 368.88
  4. Step 4: Simplify right side
    1,018.10x = 563,407.02
  5. Step 5: Solve for x
    x = 563,407.02/1,018.10
  6. Step 6: Final answer
    x = 553.39

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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.