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Finding the Fourth Proportional to 1,314.71, 1,973.08 and 904.64

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Solution

The fourth proportional to 1,314.71, 1,973.08 and 904.64 is: 1,357.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.71 : 1,973.08 = 904.64 : x
  2. Step 2: Convert to fraction form
    1,314.71/1,973.08 = 904.64/x
  3. Step 3: Cross multiply
    1,314.71x = 1,973.08 × 904.64
  4. Step 4: Simplify right side
    1,314.71x = 1,784,937.55
  5. Step 5: Solve for x
    x = 1,784,937.55/1,314.71
  6. Step 6: Final answer
    x = 1,357.67

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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.