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Finding the Fourth Proportional to 760.57, 1,049.61 and 429.01

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Solution

The fourth proportional to 760.57, 1,049.61 and 429.01 is: 592.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.57 : 1,049.61 = 429.01 : x
  2. Step 2: Convert to fraction form
    760.57/1,049.61 = 429.01/x
  3. Step 3: Cross multiply
    760.57x = 1,049.61 × 429.01
  4. Step 4: Simplify right side
    760.57x = 450,293.19
  5. Step 5: Solve for x
    x = 450,293.19/760.57
  6. Step 6: Final answer
    x = 592.05

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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.