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Finding the Fourth Proportional to 783.14, 1,080.71 and 429.08

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Solution

The fourth proportional to 783.14, 1,080.71 and 429.08 is: 592.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.14 : 1,080.71 = 429.08 : x
  2. Step 2: Convert to fraction form
    783.14/1,080.71 = 429.08/x
  3. Step 3: Cross multiply
    783.14x = 1,080.71 × 429.08
  4. Step 4: Simplify right side
    783.14x = 463,703.50
  5. Step 5: Solve for x
    x = 463,703.50/783.14
  6. Step 6: Final answer
    x = 592.11

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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.