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Finding the Fourth Proportional to 740.63, 1,022.06 and 430.13

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Solution

The fourth proportional to 740.63, 1,022.06 and 430.13 is: 593.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.63 : 1,022.06 = 430.13 : x
  2. Step 2: Convert to fraction form
    740.63/1,022.06 = 430.13/x
  3. Step 3: Cross multiply
    740.63x = 1,022.06 × 430.13
  4. Step 4: Simplify right side
    740.63x = 439,618.67
  5. Step 5: Solve for x
    x = 439,618.67/740.63
  6. Step 6: Final answer
    x = 593.57

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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.