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Finding the Fourth Proportional to 924.16, 1,386.54 and 577

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Solution

The fourth proportional to 924.16, 1,386.54 and 577 is: 865.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.16 : 1,386.54 = 577 : x
  2. Step 2: Convert to fraction form
    924.16/1,386.54 = 577/x
  3. Step 3: Cross multiply
    924.16x = 1,386.54 × 577
  4. Step 4: Simplify right side
    924.16x = 800,033.58
  5. Step 5: Solve for x
    x = 800,033.58/924.16
  6. Step 6: Final answer
    x = 865.69

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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.