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Finding the Fourth Proportional to 702.54, 967.95 and 571.32

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Solution

The fourth proportional to 702.54, 967.95 and 571.32 is: 787.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.54 : 967.95 = 571.32 : x
  2. Step 2: Convert to fraction form
    702.54/967.95 = 571.32/x
  3. Step 3: Cross multiply
    702.54x = 967.95 × 571.32
  4. Step 4: Simplify right side
    702.54x = 553,009.19
  5. Step 5: Solve for x
    x = 553,009.19/702.54
  6. Step 6: Final answer
    x = 787.16

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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.