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Finding the Fourth Proportional to 915.52, 1,264.00 and 705.31

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Solution

The fourth proportional to 915.52, 1,264.00 and 705.31 is: 973.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.52 : 1,264.00 = 705.31 : x
  2. Step 2: Convert to fraction form
    915.52/1,264.00 = 705.31/x
  3. Step 3: Cross multiply
    915.52x = 1,264.00 × 705.31
  4. Step 4: Simplify right side
    915.52x = 891,507.74
  5. Step 5: Solve for x
    x = 891,507.74/915.52
  6. Step 6: Final answer
    x = 973.77

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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.