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Finding the Fourth Proportional to 1,056.12, 1,457.52 and 590.38

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Solution

The fourth proportional to 1,056.12, 1,457.52 and 590.38 is: 814.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.12 : 1,457.52 = 590.38 : x
  2. Step 2: Convert to fraction form
    1,056.12/1,457.52 = 590.38/x
  3. Step 3: Cross multiply
    1,056.12x = 1,457.52 × 590.38
  4. Step 4: Simplify right side
    1,056.12x = 860,490.66
  5. Step 5: Solve for x
    x = 860,490.66/1,056.12
  6. Step 6: Final answer
    x = 814.77

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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.