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Finding the Fourth Proportional to 1,316.78, 1,973.78 and 586.16

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Solution

The fourth proportional to 1,316.78, 1,973.78 and 586.16 is: 878.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.78 : 1,973.78 = 586.16 : x
  2. Step 2: Convert to fraction form
    1,316.78/1,973.78 = 586.16/x
  3. Step 3: Cross multiply
    1,316.78x = 1,973.78 × 586.16
  4. Step 4: Simplify right side
    1,316.78x = 1,156,950.88
  5. Step 5: Solve for x
    x = 1,156,950.88/1,316.78
  6. Step 6: Final answer
    x = 878.62

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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.