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Finding the Fourth Proportional to 1,024.65, 1,533.87 and 659.70

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Solution

The fourth proportional to 1,024.65, 1,533.87 and 659.70 is: 987.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.65 : 1,533.87 = 659.70 : x
  2. Step 2: Convert to fraction form
    1,024.65/1,533.87 = 659.70/x
  3. Step 3: Cross multiply
    1,024.65x = 1,533.87 × 659.70
  4. Step 4: Simplify right side
    1,024.65x = 1,011,894.04
  5. Step 5: Solve for x
    x = 1,011,894.04/1,024.65
  6. Step 6: Final answer
    x = 987.55

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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.