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Finding the Fourth Proportional to 917.02, 1,264.80 and 585.10

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Solution

The fourth proportional to 917.02, 1,264.80 and 585.10 is: 807.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.02 : 1,264.80 = 585.10 : x
  2. Step 2: Convert to fraction form
    917.02/1,264.80 = 585.10/x
  3. Step 3: Cross multiply
    917.02x = 1,264.80 × 585.10
  4. Step 4: Simplify right side
    917.02x = 740,034.48
  5. Step 5: Solve for x
    x = 740,034.48/917.02
  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.