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Finding the Fourth Proportional to 973.74, 1,460.57 and 535.20

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Solution

The fourth proportional to 973.74, 1,460.57 and 535.20 is: 802.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.74 : 1,460.57 = 535.20 : x
  2. Step 2: Convert to fraction form
    973.74/1,460.57 = 535.20/x
  3. Step 3: Cross multiply
    973.74x = 1,460.57 × 535.20
  4. Step 4: Simplify right side
    973.74x = 781,688.91
  5. Step 5: Solve for x
    x = 781,688.91/973.74
  6. Step 6: Final answer
    x = 802.77

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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.