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Finding the Fourth Proportional to 1,146.30, 1,719.45 and 570.30

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Solution

The fourth proportional to 1,146.30, 1,719.45 and 570.30 is: 855.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.30 : 1,719.45 = 570.30 : x
  2. Step 2: Convert to fraction form
    1,146.30/1,719.45 = 570.30/x
  3. Step 3: Cross multiply
    1,146.30x = 1,719.45 × 570.30
  4. Step 4: Simplify right side
    1,146.30x = 980,602.34
  5. Step 5: Solve for x
    x = 980,602.34/1,146.30
  6. Step 6: Final answer
    x = 855.45

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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.