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Finding the Fourth Proportional to 972.61, 1,459.69 and 356.51

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Solution

The fourth proportional to 972.61, 1,459.69 and 356.51 is: 535.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.61 : 1,459.69 = 356.51 : x
  2. Step 2: Convert to fraction form
    972.61/1,459.69 = 356.51/x
  3. Step 3: Cross multiply
    972.61x = 1,459.69 × 356.51
  4. Step 4: Simplify right side
    972.61x = 520,385.00
  5. Step 5: Solve for x
    x = 520,385.00/972.61
  6. Step 6: Final answer
    x = 535.04

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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.