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Finding the Fourth Proportional to 753.58, 1,130.82 and 315.16

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Solution

The fourth proportional to 753.58, 1,130.82 and 315.16 is: 472.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.58 : 1,130.82 = 315.16 : x
  2. Step 2: Convert to fraction form
    753.58/1,130.82 = 315.16/x
  3. Step 3: Cross multiply
    753.58x = 1,130.82 × 315.16
  4. Step 4: Simplify right side
    753.58x = 356,389.23
  5. Step 5: Solve for x
    x = 356,389.23/753.58
  6. Step 6: Final answer
    x = 472.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.