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Finding the Fourth Proportional to 1,056.84, 1,459.16 and 658.67

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Solution

The fourth proportional to 1,056.84, 1,459.16 and 658.67 is: 909.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.84 : 1,459.16 = 658.67 : x
  2. Step 2: Convert to fraction form
    1,056.84/1,459.16 = 658.67/x
  3. Step 3: Cross multiply
    1,056.84x = 1,459.16 × 658.67
  4. Step 4: Simplify right side
    1,056.84x = 961,097.62
  5. Step 5: Solve for x
    x = 961,097.62/1,056.84
  6. Step 6: Final answer
    x = 909.41

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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.