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Finding the Fourth Proportional to 1,070.01, 1,605.23 and 453.40

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Solution

The fourth proportional to 1,070.01, 1,605.23 and 453.40 is: 680.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.01 : 1,605.23 = 453.40 : x
  2. Step 2: Convert to fraction form
    1,070.01/1,605.23 = 453.40/x
  3. Step 3: Cross multiply
    1,070.01x = 1,605.23 × 453.40
  4. Step 4: Simplify right side
    1,070.01x = 727,809.25
  5. Step 5: Solve for x
    x = 727,809.25/1,070.01
  6. Step 6: Final answer
    x = 680.19

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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.