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Finding the Fourth Proportional to 975.05, 1,345.59 and 555.39

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Solution

The fourth proportional to 975.05, 1,345.59 and 555.39 is: 766.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.05 : 1,345.59 = 555.39 : x
  2. Step 2: Convert to fraction form
    975.05/1,345.59 = 555.39/x
  3. Step 3: Cross multiply
    975.05x = 1,345.59 × 555.39
  4. Step 4: Simplify right side
    975.05x = 747,327.23
  5. Step 5: Solve for x
    x = 747,327.23/975.05
  6. Step 6: Final answer
    x = 766.45

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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.