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Finding the Fourth Proportional to 760.79, 1,050.01 and 429.30

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Solution

The fourth proportional to 760.79, 1,050.01 and 429.30 is: 592.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.79 : 1,050.01 = 429.30 : x
  2. Step 2: Convert to fraction form
    760.79/1,050.01 = 429.30/x
  3. Step 3: Cross multiply
    760.79x = 1,050.01 × 429.30
  4. Step 4: Simplify right side
    760.79x = 450,768.22
  5. Step 5: Solve for x
    x = 450,768.22/760.79
  6. Step 6: Final answer
    x = 592.50

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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.