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Finding the Fourth Proportional to 1,289.16, 1,931.98 and 594.30

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Solution

The fourth proportional to 1,289.16, 1,931.98 and 594.30 is: 890.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.16 : 1,931.98 = 594.30 : x
  2. Step 2: Convert to fraction form
    1,289.16/1,931.98 = 594.30/x
  3. Step 3: Cross multiply
    1,289.16x = 1,931.98 × 594.30
  4. Step 4: Simplify right side
    1,289.16x = 1,148,175.71
  5. Step 5: Solve for x
    x = 1,148,175.71/1,289.16
  6. Step 6: Final answer
    x = 890.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.