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Finding the Fourth Proportional to 1,130.10, 1,695.10 and 297.14

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Solution

The fourth proportional to 1,130.10, 1,695.10 and 297.14 is: 445.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.10 : 1,695.10 = 297.14 : x
  2. Step 2: Convert to fraction form
    1,130.10/1,695.10 = 297.14/x
  3. Step 3: Cross multiply
    1,130.10x = 1,695.10 × 297.14
  4. Step 4: Simplify right side
    1,130.10x = 503,680.53
  5. Step 5: Solve for x
    x = 503,680.53/1,130.10
  6. Step 6: Final answer
    x = 445.70

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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.