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Finding the Fourth Proportional to 1,303.16, 1,792.90 and 1,137.76

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Solution

The fourth proportional to 1,303.16, 1,792.90 and 1,137.76 is: 1,565.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.16 : 1,792.90 = 1,137.76 : x
  2. Step 2: Convert to fraction form
    1,303.16/1,792.90 = 1,137.76/x
  3. Step 3: Cross multiply
    1,303.16x = 1,792.90 × 1,137.76
  4. Step 4: Simplify right side
    1,303.16x = 2,039,889.90
  5. Step 5: Solve for x
    x = 2,039,889.90/1,303.16
  6. Step 6: Final answer
    x = 1,565.34

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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.