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Finding the Fourth Proportional to 702.95, 970.25 and 563.02

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Solution

The fourth proportional to 702.95, 970.25 and 563.02 is: 777.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.95 : 970.25 = 563.02 : x
  2. Step 2: Convert to fraction form
    702.95/970.25 = 563.02/x
  3. Step 3: Cross multiply
    702.95x = 970.25 × 563.02
  4. Step 4: Simplify right side
    702.95x = 546,264.91
  5. Step 5: Solve for x
    x = 546,264.91/702.95
  6. Step 6: Final answer
    x = 777.11

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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.