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Finding the Fourth Proportional to 760.91, 1,050.06 and 429.34

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Solution

The fourth proportional to 760.91, 1,050.06 and 429.34 is: 592.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.91 : 1,050.06 = 429.34 : x
  2. Step 2: Convert to fraction form
    760.91/1,050.06 = 429.34/x
  3. Step 3: Cross multiply
    760.91x = 1,050.06 × 429.34
  4. Step 4: Simplify right side
    760.91x = 450,832.76
  5. Step 5: Solve for x
    x = 450,832.76/760.91
  6. Step 6: Final answer
    x = 592.49

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1.5x scale

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.