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Finding the Fourth Proportional to 1,146.48, 1,719.75 and 530.70

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Solution

The fourth proportional to 1,146.48, 1,719.75 and 530.70 is: 796.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.48 : 1,719.75 = 530.70 : x
  2. Step 2: Convert to fraction form
    1,146.48/1,719.75 = 530.70/x
  3. Step 3: Cross multiply
    1,146.48x = 1,719.75 × 530.70
  4. Step 4: Simplify right side
    1,146.48x = 912,671.33
  5. Step 5: Solve for x
    x = 912,671.33/1,146.48
  6. Step 6: Final answer
    x = 796.06

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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.