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Finding the Fourth Proportional to 1,000.40, 1,499.70 and 653.90

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Solution

The fourth proportional to 1,000.40, 1,499.70 and 653.90 is: 980.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.40 : 1,499.70 = 653.90 : x
  2. Step 2: Convert to fraction form
    1,000.40/1,499.70 = 653.90/x
  3. Step 3: Cross multiply
    1,000.40x = 1,499.70 × 653.90
  4. Step 4: Simplify right side
    1,000.40x = 980,653.83
  5. Step 5: Solve for x
    x = 980,653.83/1,000.40
  6. Step 6: Final answer
    x = 980.26

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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.