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Finding the Fourth Proportional to 924.07, 1,275.09 and 530.95

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Solution

The fourth proportional to 924.07, 1,275.09 and 530.95 is: 732.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.07 : 1,275.09 = 530.95 : x
  2. Step 2: Convert to fraction form
    924.07/1,275.09 = 530.95/x
  3. Step 3: Cross multiply
    924.07x = 1,275.09 × 530.95
  4. Step 4: Simplify right side
    924.07x = 677,009.04
  5. Step 5: Solve for x
    x = 677,009.04/924.07
  6. Step 6: Final answer
    x = 732.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.