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Finding the Fourth Proportional to 715.62, 1,071.80 and 586.02

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Solution

The fourth proportional to 715.62, 1,071.80 and 586.02 is: 877.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.62 : 1,071.80 = 586.02 : x
  2. Step 2: Convert to fraction form
    715.62/1,071.80 = 586.02/x
  3. Step 3: Cross multiply
    715.62x = 1,071.80 × 586.02
  4. Step 4: Simplify right side
    715.62x = 628,096.24
  5. Step 5: Solve for x
    x = 628,096.24/715.62
  6. Step 6: Final answer
    x = 877.70

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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.