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Finding the Fourth Proportional to 760.66, 1,049.66 and 429.10

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Solution

The fourth proportional to 760.66, 1,049.66 and 429.10 is: 592.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.66 : 1,049.66 = 429.10 : x
  2. Step 2: Convert to fraction form
    760.66/1,049.66 = 429.10/x
  3. Step 3: Cross multiply
    760.66x = 1,049.66 × 429.10
  4. Step 4: Simplify right side
    760.66x = 450,409.11
  5. Step 5: Solve for x
    x = 450,409.11/760.66
  6. Step 6: Final answer
    x = 592.13

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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.