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Finding the Fourth Proportional to 953, 1,315.14 and 585

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Solution

The fourth proportional to 953, 1,315.14 and 585 is: 807.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    953 : 1,315.14 = 585 : x
  2. Step 2: Convert to fraction form
    953/1,315.14 = 585/x
  3. Step 3: Cross multiply
    953x = 1,315.14 × 585
  4. Step 4: Simplify right side
    953x = 769,356.90
  5. Step 5: Solve for x
    x = 769,356.90/953
  6. Step 6: Final answer
    x = 807.30

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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.