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Finding the Fourth Proportional to 1,130.98, 1,560.72 and 800.14

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Solution

The fourth proportional to 1,130.98, 1,560.72 and 800.14 is: 1,104.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.98 : 1,560.72 = 800.14 : x
  2. Step 2: Convert to fraction form
    1,130.98/1,560.72 = 800.14/x
  3. Step 3: Cross multiply
    1,130.98x = 1,560.72 × 800.14
  4. Step 4: Simplify right side
    1,130.98x = 1,248,794.50
  5. Step 5: Solve for x
    x = 1,248,794.50/1,130.98
  6. Step 6: Final answer
    x = 1,104.17

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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.