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Finding the Fourth Proportional to 1,146.15, 1,719.83 and 530.15

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Solution

The fourth proportional to 1,146.15, 1,719.83 and 530.15 is: 795.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.15 : 1,719.83 = 530.15 : x
  2. Step 2: Convert to fraction form
    1,146.15/1,719.83 = 530.15/x
  3. Step 3: Cross multiply
    1,146.15x = 1,719.83 × 530.15
  4. Step 4: Simplify right side
    1,146.15x = 911,760.60
  5. Step 5: Solve for x
    x = 911,760.60/1,146.15
  6. Step 6: Final answer
    x = 795.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.