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Finding the Fourth Proportional to 895.16, 1,230.14 and 737.50

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Solution

The fourth proportional to 895.16, 1,230.14 and 737.50 is: 1,013.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.16 : 1,230.14 = 737.50 : x
  2. Step 2: Convert to fraction form
    895.16/1,230.14 = 737.50/x
  3. Step 3: Cross multiply
    895.16x = 1,230.14 × 737.50
  4. Step 4: Simplify right side
    895.16x = 907,228.25
  5. Step 5: Solve for x
    x = 907,228.25/895.16
  6. Step 6: Final answer
    x = 1,013.48

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.