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Finding the Fourth Proportional to 971.61, 1,340.87 and 653.01

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Solution

The fourth proportional to 971.61, 1,340.87 and 653.01 is: 901.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.61 : 1,340.87 = 653.01 : x
  2. Step 2: Convert to fraction form
    971.61/1,340.87 = 653.01/x
  3. Step 3: Cross multiply
    971.61x = 1,340.87 × 653.01
  4. Step 4: Simplify right side
    971.61x = 875,598.25
  5. Step 5: Solve for x
    x = 875,598.25/971.61
  6. Step 6: Final answer
    x = 901.18

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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.