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Finding the Fourth Proportional to 1,018.60, 1,527.68 and 288.01

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Solution

The fourth proportional to 1,018.60, 1,527.68 and 288.01 is: 431.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.60 : 1,527.68 = 288.01 : x
  2. Step 2: Convert to fraction form
    1,018.60/1,527.68 = 288.01/x
  3. Step 3: Cross multiply
    1,018.60x = 1,527.68 × 288.01
  4. Step 4: Simplify right side
    1,018.60x = 439,985.68
  5. Step 5: Solve for x
    x = 439,985.68/1,018.60
  6. Step 6: Final answer
    x = 431.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.