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Finding the Fourth Proportional to 1,056.16, 1,458.03 and 663.58

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Solution

The fourth proportional to 1,056.16, 1,458.03 and 663.58 is: 916.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.16 : 1,458.03 = 663.58 : x
  2. Step 2: Convert to fraction form
    1,056.16/1,458.03 = 663.58/x
  3. Step 3: Cross multiply
    1,056.16x = 1,458.03 × 663.58
  4. Step 4: Simplify right side
    1,056.16x = 967,519.55
  5. Step 5: Solve for x
    x = 967,519.55/1,056.16
  6. Step 6: Final answer
    x = 916.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.