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Finding the Fourth Proportional to 975.51, 1,345.75 and 602.19

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Solution

The fourth proportional to 975.51, 1,345.75 and 602.19 is: 830.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.51 : 1,345.75 = 602.19 : x
  2. Step 2: Convert to fraction form
    975.51/1,345.75 = 602.19/x
  3. Step 3: Cross multiply
    975.51x = 1,345.75 × 602.19
  4. Step 4: Simplify right side
    975.51x = 810,397.19
  5. Step 5: Solve for x
    x = 810,397.19/975.51
  6. Step 6: Final answer
    x = 830.74

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