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Finding the Fourth Proportional to 1,152.84, 1,725.48 and 719.76

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Solution

The fourth proportional to 1,152.84, 1,725.48 and 719.76 is: 1,077.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.84 : 1,725.48 = 719.76 : x
  2. Step 2: Convert to fraction form
    1,152.84/1,725.48 = 719.76/x
  3. Step 3: Cross multiply
    1,152.84x = 1,725.48 × 719.76
  4. Step 4: Simplify right side
    1,152.84x = 1,241,931.48
  5. Step 5: Solve for x
    x = 1,241,931.48/1,152.84
  6. Step 6: Final answer
    x = 1,077.28

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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.