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Finding the Fourth Proportional to 1,253.84, 1,877.99 and 705.69

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Solution

The fourth proportional to 1,253.84, 1,877.99 and 705.69 is: 1,056.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.84 : 1,877.99 = 705.69 : x
  2. Step 2: Convert to fraction form
    1,253.84/1,877.99 = 705.69/x
  3. Step 3: Cross multiply
    1,253.84x = 1,877.99 × 705.69
  4. Step 4: Simplify right side
    1,253.84x = 1,325,275.23
  5. Step 5: Solve for x
    x = 1,325,275.23/1,253.84
  6. Step 6: Final answer
    x = 1,056.98

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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.