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Finding the Fourth Proportional to 1,702.63, 2,349.77 and 956.76

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Solution

The fourth proportional to 1,702.63, 2,349.77 and 956.76 is: 1,320.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.63 : 2,349.77 = 956.76 : x
  2. Step 2: Convert to fraction form
    1,702.63/2,349.77 = 956.76/x
  3. Step 3: Cross multiply
    1,702.63x = 2,349.77 × 956.76
  4. Step 4: Simplify right side
    1,702.63x = 2,248,165.95
  5. Step 5: Solve for x
    x = 2,248,165.95/1,702.63
  6. Step 6: Final answer
    x = 1,320.41

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1.5x scale

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.