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Finding the Fourth Proportional to 1,000.70, 1,502.67 and 783.62

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Solution

The fourth proportional to 1,000.70, 1,502.67 and 783.62 is: 1,176.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.70 : 1,502.67 = 783.62 : x
  2. Step 2: Convert to fraction form
    1,000.70/1,502.67 = 783.62/x
  3. Step 3: Cross multiply
    1,000.70x = 1,502.67 × 783.62
  4. Step 4: Simplify right side
    1,000.70x = 1,177,522.27
  5. Step 5: Solve for x
    x = 1,177,522.27/1,000.70
  6. Step 6: Final answer
    x = 1,176.70

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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.