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Finding the Fourth Proportional to 1,056.30, 1,457.46 and 663.18

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Solution

The fourth proportional to 1,056.30, 1,457.46 and 663.18 is: 915.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.30 : 1,457.46 = 663.18 : x
  2. Step 2: Convert to fraction form
    1,056.30/1,457.46 = 663.18/x
  3. Step 3: Cross multiply
    1,056.30x = 1,457.46 × 663.18
  4. Step 4: Simplify right side
    1,056.30x = 966,558.32
  5. Step 5: Solve for x
    x = 966,558.32/1,056.30
  6. Step 6: Final answer
    x = 915.04

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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.