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Finding the Fourth Proportional to 1,373.48, 1,895.28 and 784.16

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Solution

The fourth proportional to 1,373.48, 1,895.28 and 784.16 is: 1,082.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,373.48 : 1,895.28 = 784.16 : x
  2. Step 2: Convert to fraction form
    1,373.48/1,895.28 = 784.16/x
  3. Step 3: Cross multiply
    1,373.48x = 1,895.28 × 784.16
  4. Step 4: Simplify right side
    1,373.48x = 1,486,202.76
  5. Step 5: Solve for x
    x = 1,486,202.76/1,373.48
  6. Step 6: Final answer
    x = 1,082.07

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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.