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Finding the Fourth Proportional to 1,159.64, 1,740.26 and 429.80

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Solution

The fourth proportional to 1,159.64, 1,740.26 and 429.80 is: 645.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.64 : 1,740.26 = 429.80 : x
  2. Step 2: Convert to fraction form
    1,159.64/1,740.26 = 429.80/x
  3. Step 3: Cross multiply
    1,159.64x = 1,740.26 × 429.80
  4. Step 4: Simplify right side
    1,159.64x = 747,963.75
  5. Step 5: Solve for x
    x = 747,963.75/1,159.64
  6. Step 6: Final answer
    x = 645.00

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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.