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Finding the Fourth Proportional to 1,035.65, 1,428.84 and 703.49

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Solution

The fourth proportional to 1,035.65, 1,428.84 and 703.49 is: 970.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.65 : 1,428.84 = 703.49 : x
  2. Step 2: Convert to fraction form
    1,035.65/1,428.84 = 703.49/x
  3. Step 3: Cross multiply
    1,035.65x = 1,428.84 × 703.49
  4. Step 4: Simplify right side
    1,035.65x = 1,005,178.22
  5. Step 5: Solve for x
    x = 1,005,178.22/1,035.65
  6. Step 6: Final answer
    x = 970.58

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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.