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Finding the Fourth Proportional to 1,729.51, 2,594.28 and 430.93

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Solution

The fourth proportional to 1,729.51, 2,594.28 and 430.93 is: 646.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.51 : 2,594.28 = 430.93 : x
  2. Step 2: Convert to fraction form
    1,729.51/2,594.28 = 430.93/x
  3. Step 3: Cross multiply
    1,729.51x = 2,594.28 × 430.93
  4. Step 4: Simplify right side
    1,729.51x = 1,117,953.08
  5. Step 5: Solve for x
    x = 1,117,953.08/1,729.51
  6. Step 6: Final answer
    x = 646.40

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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.