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Finding the Fourth Proportional to 1,125.40, 1,688.84 and 509.14

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Solution

The fourth proportional to 1,125.40, 1,688.84 and 509.14 is: 764.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.40 : 1,688.84 = 509.14 : x
  2. Step 2: Convert to fraction form
    1,125.40/1,688.84 = 509.14/x
  3. Step 3: Cross multiply
    1,125.40x = 1,688.84 × 509.14
  4. Step 4: Simplify right side
    1,125.40x = 859,856.00
  5. Step 5: Solve for x
    x = 859,856.00/1,125.40
  6. Step 6: Final answer
    x = 764.04

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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.