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Finding the Fourth Proportional to 972.02, 1,458.49 and 856.30

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Solution

The fourth proportional to 972.02, 1,458.49 and 856.30 is: 1,284.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.02 : 1,458.49 = 856.30 : x
  2. Step 2: Convert to fraction form
    972.02/1,458.49 = 856.30/x
  3. Step 3: Cross multiply
    972.02x = 1,458.49 × 856.30
  4. Step 4: Simplify right side
    972.02x = 1,248,904.99
  5. Step 5: Solve for x
    x = 1,248,904.99/972.02
  6. Step 6: Final answer
    x = 1,284.86

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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.