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Finding the Fourth Proportional to 975.32, 1,345.90 and 555.68

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Solution

The fourth proportional to 975.32, 1,345.90 and 555.68 is: 766.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.32 : 1,345.90 = 555.68 : x
  2. Step 2: Convert to fraction form
    975.32/1,345.90 = 555.68/x
  3. Step 3: Cross multiply
    975.32x = 1,345.90 × 555.68
  4. Step 4: Simplify right side
    975.32x = 747,889.71
  5. Step 5: Solve for x
    x = 747,889.71/975.32
  6. Step 6: Final answer
    x = 766.81

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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.