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Finding the Fourth Proportional to 973.53, 1,459.89 and 924.93

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Solution

The fourth proportional to 973.53, 1,459.89 and 924.93 is: 1,387.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.53 : 1,459.89 = 924.93 : x
  2. Step 2: Convert to fraction form
    973.53/1,459.89 = 924.93/x
  3. Step 3: Cross multiply
    973.53x = 1,459.89 × 924.93
  4. Step 4: Simplify right side
    973.53x = 1,350,296.06
  5. Step 5: Solve for x
    x = 1,350,296.06/973.53
  6. Step 6: Final answer
    x = 1,387.01

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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.