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Finding the Fourth Proportional to 1,307.16, 1,802.52 and 975.06

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Solution

The fourth proportional to 1,307.16, 1,802.52 and 975.06 is: 1,344.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.16 : 1,802.52 = 975.06 : x
  2. Step 2: Convert to fraction form
    1,307.16/1,802.52 = 975.06/x
  3. Step 3: Cross multiply
    1,307.16x = 1,802.52 × 975.06
  4. Step 4: Simplify right side
    1,307.16x = 1,757,565.15
  5. Step 5: Solve for x
    x = 1,757,565.15/1,307.16
  6. Step 6: Final answer
    x = 1,344.57

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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.