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Finding the Fourth Proportional to 1,056.42, 1,457.79 and 590.58

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Solution

The fourth proportional to 1,056.42, 1,457.79 and 590.58 is: 814.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.42 : 1,457.79 = 590.58 : x
  2. Step 2: Convert to fraction form
    1,056.42/1,457.79 = 590.58/x
  3. Step 3: Cross multiply
    1,056.42x = 1,457.79 × 590.58
  4. Step 4: Simplify right side
    1,056.42x = 860,941.62
  5. Step 5: Solve for x
    x = 860,941.62/1,056.42
  6. Step 6: Final answer
    x = 814.96

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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.