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Finding the Fourth Proportional to 988.73, 1,364.41 and 569.15

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Solution

The fourth proportional to 988.73, 1,364.41 and 569.15 is: 785.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.73 : 1,364.41 = 569.15 : x
  2. Step 2: Convert to fraction form
    988.73/1,364.41 = 569.15/x
  3. Step 3: Cross multiply
    988.73x = 1,364.41 × 569.15
  4. Step 4: Simplify right side
    988.73x = 776,547.13
  5. Step 5: Solve for x
    x = 776,547.13/988.73
  6. Step 6: Final answer
    x = 785.40

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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.