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Finding the Fourth Proportional to 956.61, 1,320.01 and 536.87

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Solution

The fourth proportional to 956.61, 1,320.01 and 536.87 is: 740.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.61 : 1,320.01 = 536.87 : x
  2. Step 2: Convert to fraction form
    956.61/1,320.01 = 536.87/x
  3. Step 3: Cross multiply
    956.61x = 1,320.01 × 536.87
  4. Step 4: Simplify right side
    956.61x = 708,673.77
  5. Step 5: Solve for x
    x = 708,673.77/956.61
  6. Step 6: Final answer
    x = 740.82

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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.