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Finding the Fourth Proportional to 834.66, 1,152.14 and 503.10

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Solution

The fourth proportional to 834.66, 1,152.14 and 503.10 is: 694.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.66 : 1,152.14 = 503.10 : x
  2. Step 2: Convert to fraction form
    834.66/1,152.14 = 503.10/x
  3. Step 3: Cross multiply
    834.66x = 1,152.14 × 503.10
  4. Step 4: Simplify right side
    834.66x = 579,639.12
  5. Step 5: Solve for x
    x = 579,639.12/834.66
  6. Step 6: Final answer
    x = 694.46

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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.