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Finding the Fourth Proportional to 1,022.58, 1,530.36 and 612.45

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Solution

The fourth proportional to 1,022.58, 1,530.36 and 612.45 is: 916.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.58 : 1,530.36 = 612.45 : x
  2. Step 2: Convert to fraction form
    1,022.58/1,530.36 = 612.45/x
  3. Step 3: Cross multiply
    1,022.58x = 1,530.36 × 612.45
  4. Step 4: Simplify right side
    1,022.58x = 937,268.98
  5. Step 5: Solve for x
    x = 937,268.98/1,022.58
  6. Step 6: Final answer
    x = 916.57

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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.