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Finding the Fourth Proportional to 1,502.90, 2,254.48 and 407.26

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Solution

The fourth proportional to 1,502.90, 2,254.48 and 407.26 is: 610.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.90 : 2,254.48 = 407.26 : x
  2. Step 2: Convert to fraction form
    1,502.90/2,254.48 = 407.26/x
  3. Step 3: Cross multiply
    1,502.90x = 2,254.48 × 407.26
  4. Step 4: Simplify right side
    1,502.90x = 918,159.52
  5. Step 5: Solve for x
    x = 918,159.52/1,502.90
  6. Step 6: Final answer
    x = 610.93

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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.