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Finding the Fourth Proportional to 1,264.64, 1,897.58 and 709.00

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Solution

The fourth proportional to 1,264.64, 1,897.58 and 709.00 is: 1,063.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.64 : 1,897.58 = 709.00 : x
  2. Step 2: Convert to fraction form
    1,264.64/1,897.58 = 709.00/x
  3. Step 3: Cross multiply
    1,264.64x = 1,897.58 × 709.00
  4. Step 4: Simplify right side
    1,264.64x = 1,345,381.25
  5. Step 5: Solve for x
    x = 1,345,381.25/1,264.64
  6. Step 6: Final answer
    x = 1,063.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.