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Finding the Fourth Proportional to 1,146.60, 1,719.40 and 530.10

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Solution

The fourth proportional to 1,146.60, 1,719.40 and 530.10 is: 794.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.60 : 1,719.40 = 530.10 : x
  2. Step 2: Convert to fraction form
    1,146.60/1,719.40 = 530.10/x
  3. Step 3: Cross multiply
    1,146.60x = 1,719.40 × 530.10
  4. Step 4: Simplify right side
    1,146.60x = 911,453.94
  5. Step 5: Solve for x
    x = 911,453.94/1,146.60
  6. Step 6: Final answer
    x = 794.92

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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.