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Finding the Fourth Proportional to 1,307.10, 1,803.96 and 809.90

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Solution

The fourth proportional to 1,307.10, 1,803.96 and 809.90 is: 1,117.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.10 : 1,803.96 = 809.90 : x
  2. Step 2: Convert to fraction form
    1,307.10/1,803.96 = 809.90/x
  3. Step 3: Cross multiply
    1,307.10x = 1,803.96 × 809.90
  4. Step 4: Simplify right side
    1,307.10x = 1,461,018.18
  5. Step 5: Solve for x
    x = 1,461,018.18/1,307.10
  6. Step 6: Final answer
    x = 1,117.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.