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Finding the Fourth Proportional to 1,056.38, 1,457.80 and 590.63

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Solution

The fourth proportional to 1,056.38, 1,457.80 and 590.63 is: 815.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.38 : 1,457.80 = 590.63 : x
  2. Step 2: Convert to fraction form
    1,056.38/1,457.80 = 590.63/x
  3. Step 3: Cross multiply
    1,056.38x = 1,457.80 × 590.63
  4. Step 4: Simplify right side
    1,056.38x = 861,011.65
  5. Step 5: Solve for x
    x = 861,011.65/1,056.38
  6. Step 6: Final answer
    x = 815.06

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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.