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Finding the Fourth Proportional to 972.93, 1,342.64 and 530.83

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Solution

The fourth proportional to 972.93, 1,342.64 and 530.83 is: 732.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.93 : 1,342.64 = 530.83 : x
  2. Step 2: Convert to fraction form
    972.93/1,342.64 = 530.83/x
  3. Step 3: Cross multiply
    972.93x = 1,342.64 × 530.83
  4. Step 4: Simplify right side
    972.93x = 712,713.59
  5. Step 5: Solve for x
    x = 712,713.59/972.93
  6. Step 6: Final answer
    x = 732.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.