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Finding the Fourth Proportional to 1,053.16, 1,580.03 and 460.23

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Solution

The fourth proportional to 1,053.16, 1,580.03 and 460.23 is: 690.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.16 : 1,580.03 = 460.23 : x
  2. Step 2: Convert to fraction form
    1,053.16/1,580.03 = 460.23/x
  3. Step 3: Cross multiply
    1,053.16x = 1,580.03 × 460.23
  4. Step 4: Simplify right side
    1,053.16x = 727,167.01
  5. Step 5: Solve for x
    x = 727,167.01/1,053.16
  6. Step 6: Final answer
    x = 690.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.