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Finding the Fourth Proportional to 1,373.42, 1,895.40 and 784.08

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Solution

The fourth proportional to 1,373.42, 1,895.40 and 784.08 is: 1,082.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,373.42 : 1,895.40 = 784.08 : x
  2. Step 2: Convert to fraction form
    1,373.42/1,895.40 = 784.08/x
  3. Step 3: Cross multiply
    1,373.42x = 1,895.40 × 784.08
  4. Step 4: Simplify right side
    1,373.42x = 1,486,145.23
  5. Step 5: Solve for x
    x = 1,486,145.23/1,373.42
  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.