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Finding the Fourth Proportional to 917.35, 1,264.93 and 585.25

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Solution

The fourth proportional to 917.35, 1,264.93 and 585.25 is: 807.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.35 : 1,264.93 = 585.25 : x
  2. Step 2: Convert to fraction form
    917.35/1,264.93 = 585.25/x
  3. Step 3: Cross multiply
    917.35x = 1,264.93 × 585.25
  4. Step 4: Simplify right side
    917.35x = 740,300.28
  5. Step 5: Solve for x
    x = 740,300.28/917.35
  6. Step 6: Final answer
    x = 807.00

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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.